The opposite angles formed when two lines intersect areLESSONangles.O Four straight lines, k, e, m, and n, Intersect as shown. Lines kand n are perpendicular. Find the value of x.A 2855B 42C 58(2x-49)D 87Tell whether each statement is True or False.True Falsea. The sum of the measures of two supplementaryangles is 90°.b. If the measure of an acute angle is x°, then themeasure of its complementary angle is (90- x)°.c. Two adjacent angles are always complementaryor supplementary.

The opposite angles formed when two ilnes intersect are angles. 5 Four straight lines, k, €, m, andn, intersect as shown. Lines k and n are perpendicular. Find the value of x. A 28 B 42 C 58 12x-49) D 87 Tell whether each statement is True or False.

The opposite angles formed when two ilnes intersect are angles. 5 Four straight lines, k, €, m, andn, intersect as shown. Lines k and n are perpendicular. Find the value of x. A 28 B 42 C 58 12x-49) D 87 Tell whether each statement is True or False.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter1: Line And Angle Relationships

Section1.2: Angles And Their Relationships

Problem 29E: Suppose that the two angles are supplementary. Find expressions for the supplements, using the...

See similar textbooks

Related questions

Q: Example 2 Write the measure of the complementary angle. (a) 44 6 (b) 7 → (c) 66 → (d) 45 Name the co...

A: Since you have posted multiple questions, as per guidelines I"ll solve only first question. If you w...

Q: If mſl = (3x + 2)°, mHLK = (15x – 36)°, and M2HMK = (8x - 1)°, find the measure of HLK. H M J K 16 d...

Q: 20. Choose the method that explains why AFGH AJKH. F G A AA B SSS C SAS D not possible H Given: FG |...

Q: If ABC =~ DEF. Find the measures of the given angels or the lengths of the given sides.

A: Topic = Geometry Two triangles are congruent if they meet one of the following criteria. All thre...

Q: How much larger does a figure get after the dilation D:(x, y) = (2.5x, 2.5y) is performed on it? Exp...

Q: Which is NOT a sine, cosine, or tangent ratio for ZA? 6. 6. 6. b) 9.5 9.5 c) 11 9.5 a) 11 d) 2 9.5 6...

A: NOTE: Refresh your page if you can't see any equations. . here we have AC=6 BC=9.5 AB=11

Q: A regular pentagon is centered about the origin and has a vertex at (0,4). Which transformation maps...

A: Given , a regular pentagon is centred at origin and has vertex (0,4) We need to find the transforma...

Q: Sector BAC 12 m A 75° B Area of Sector BAC = type your answer... n square meters

Q: Two angle measures in paralelogram MNRQ are shown. M (32x – 18) (25x + 10 ). R

A: Given query is to find indicated angles.

Q: 0.4 ソミーxe"* -1 -0.5 1.5 --0.2 -0.4 21

Q: I Without solving, find the sum and product of the roots of each of the followine equations. 1. 4x +...

A: As per the company guidelines we are supposed to answer the first question of first 5 subparts.Kindl...

Q: Consider the diagram below. (2x) yo (2x + 4)° (3y + 8)° Which of the following represent the values ...

Q: A 20-foot ladder is leaning up against a wall. The angle formed with the base of the ladder and the ...

Q: A pyramidal tent with a square floor is made from canvas which weighs 1 lb per square yard. If the f...

A: To find out the weight of tent.

Q: Justified Claims Why ACIBD Îf AC is a bisector of BD f KAED is a right angle KAEB is a right angle A...

A: Follow the procedure given below.

Q: A figure is shown. L B M Given: LA MB, BL || AM 2) Which statement about quadrilateral LAM B is true...

A: Topic:- geometry

Q: what is the length of segment AB with points A(2,4) and B(3,6). Use √ if necessary.

Q: YA 3 10 11 12 13 14 -2 3 4 6. y -1 4 -1 Question 3 For which values of x is the output from the tabl...

A: We have given graph of a function (i) From graph When x=1 , 2<y<3 From table When x =1 , y=...

Q: Mrs.Fraklin has a rectangular piece of fabric with an area of 198 square inches. It is 9 inches wide...

Q: Find the cosine of ZV. 13 12 Simplify your answer and write it as a proper fraction, improper fracti...

A: We have to calculate value of cos(V)

Q: A rectangle is 5 times as long as it is wide. If the length is increased by 5 inches and the width i...

Q: ODLAF D. A G E

Q: 30° In the diagram shown, AC || EF and DB = DC. Find mZD. ............. .......... mZD = ..............

Q: Write the coordinates of the vertices after a reflection over the x-axis. 104 8 4 2. -10 -4 2. 10 -4...

Q: O MEASUREMENT AND MATTER Solving applied density problems 0/5 Modern commercial airliners are largel...

A: This is a basic problem of geometry

Q: Here are the graphs of the circle centered at (0,0) with radius 8 and the line given by 4x +7y = 65....

Q: DE = BC. Find the measure of arc BC. 4x° (3x + 22)° E The measure of arc BC is type your answer... d...

Q: 12. Find 2 different ways to answer the following: The length of the side of a square is 7. is the l...

A: Given query is to find the length of the diagonal of a square by two different ways.

Q: 6. If each angle in one triangle is congruent to its corresponding angle in another triangle, are th...

A: Given Two triangles with each angle equal to corresponding angles of other triangle. We have to dete...

Q: Write the coordinates of the vertices after a reflection over the line y = 3. 104 F 4 D. 6.

A: NOTE: Refresh your page if you can't see any equations. . the given rhombus is

Q: In the figure, AC and BD intersect at E. BE = CE, AB=4 cm, T-4 4 cm ZBAC= 60° and ZADB = 40°. 60° 40...

A: Draw: Join B, C. Given: BE=CEAB⏜=4 cm∠BAC=60°∠ADB=40° To find: a) Length of CD⏜.b) Verify: AB=AD...

Q: Find the sine of ZW. W /29 Write your answer in simplified, rationalized form. Do not round. sin (W)...

Q: Find 5 geometric means between 11 and 45,056.

Q: Draw a related picture 1. Collinear points A, B, C, D, and E such that AB and AC are opposite rays...

A: Solution- Given that, AB and AC are opposite rays. AC and AD are the same rays or same direction. ...

Q: During the initial phase of an outbreak of COVID-19, the number of infections can grow geometrically...

A: Since the number of infections can grow geometrically. The number of infections on day 1 is 1=a. The...

Q: When measuring the force it takes to push a safe, what are the SI units?

Q: 4 12 5 15 Means: and 1. Extremes: and 2. 6:9 - 4:6 Means: and Extremes: and

A: 1) 45=1215 Means = 5 and 12 Extremes = 4 and 15

Q: III. Open ended: Use the given endpoints below to find... N (-9, -13); D (-1, 3) 1. The distance 2. ...

A: As per our guideline we are supposed to answer only three subpart of question you can repost other p...

Q: Write the coordinates of the vertices after a reflection over the line y = -1. 104 8. 4. 2. -10 -8 -...

Q: Mallory knows that three points are sufficient to define a circle, so she uses the three vertices of...

A: circumcenter of a triangle is the point where the perpendicular bisectors of the sides intersect.

Q: For items 4-6, use the figure on the right to answer the following. 4. Which sides are bases? A. BE ...

A: Given:

Q: G6 Choose the method that explains why AABC ADEF. A AA B SSS C SAS D not possible 8 61 A 4 C

A: We know that ...two triangles are said to be similar if their corresponding sides ratio are equal. O...

Q: Write the sphere equation x^2 + y^2 + z^2 + 2x - 2y -2z = 33 in standard form, and hence find the ce...

Q: What is the area of sector BAC? Write your answer in terms of T. B 40° C A 9 in Area of sector BAC =...

Q: Radius OBLAC ODLAF D. A B. LL.

A: When the radius is OB = 42 cm and the line segment OD = 30 cm. Extend the line segment OD onto the p...

Q: A rectangle has a breadth of x cm and a length which is ten times longer than the breadth. If the ar...

A: Given, A rectangle has a breadth of x cm and a length which is ten times longer than the ...

Q: Which dilation is shown by this graph? A. D(!) (WXYZ) (ΖΑΧΛ) B. D3 (W XY Z) O C. D!) (W XY Z) (ΖΑΧΛ)...

A: figure WXYZ dilated into W'Y'X'Z'

Q: Find the perimeter and aréa of rest tenth) to help find other answers for this one! Round your answe...

A: We are asked to find the area and perimeter of the triangle.

Q: 52° R 67° T

A: Given that:

Q: Use the information in the diagram to solve for x and y. 23. (2x- 3y)° (4x-° (6x+ 2y) 4x (2x- 5y X* ...

A: Find x and y .

Question

The opposite angles formed when two lines intersect are
LESSON
angles.
O Four straight lines, k, e, m, and n, Intersect as shown. Lines k
and n are perpendicular. Find the value of x.
A 28
55
B 42
C 58
(2x-49)
D 87
Tell whether each statement is True or False.
True False
a. The sum of the measures of two supplementary
angles is 90°.
b. If the measure of an acute angle is x°, then the
measure of its complementary angle is (90- x)°.
c. Two adjacent angles are always complementary
or supplementary.

Expert Solution

Step 1

We know that

Vertically opposite angles are equal

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

? ABC is similar to ? XYZ. Find the length of side c.
Suppose that the two angles are supplementary. Find expressions for the supplements, using the expressions provided in Exercise 28, parts a to c. For two complementary angles, find an expression for the measure of the second angle if the measure of first is: a x b (3x12) c (2x+5v)
Given: m1=x212 m4=x(x2) Find: x so that ABCD
a Argue that the midpoint of the hypotenuse of a right triangle is equidistant from the three vertices of the triangle. Use the fact that the congruent diagonals of a rectangle bisect each other. Be sure to provide a drawing. bUse the relationship from part a to find CM, the length of the median to the hypotenuse of right ABC, in which mC=90, AC = 6, and BC = 8.
Given: l1l2l3,AB=5,BC=x,DE=x2,EF=7 Find: x,BC,DE
In ABC, M is the midpoint of AB and N is the midpoint of AC. If MN= 3x-11 and BC= 4x24, find the value of x.
The following problem is based on this theorem: A median of a triangle separates it into two triangles of equal area. In the figure, RST has median RV. a Explain why ARSV=ARVT. b If ARST=40.8cm2, find ARSV.
A ceiling fan has equally spaced blades. What is the measure of the angle formed by two consecutive blades if there are a 5 blades? b 6 blades?
Given: RW bisects SRT Do the following equalities hold? a RSSW=RTWT b mS=mT
In trapezoid ABCD not shown, mA=x2+10, mB=x3+50 and mC=x5+50. Find all possible values of x.