Given that 2 parallel lines are cut by a transversal, solve for the measure of the angle marked with 1 below. 2xו (10x + 12)

Q: 5. If two lines are cut by a transversal, which of the following conditions is necessary to say that…

A: When two lines are cut by a transversal, the angles which occupy the same relative position are…

Q: For triangle ABC, M and N are the midpoints of the indicated sides. If MN = x + 2 and BC = 4x - 12,…

A:

Q: 8) Given that ZLMN is a straight angle, find MZLMP and MZPMN. (8x-6)°(10x - 12)° IN

A:

Q: Twice the measure of R is equal to the measure of s. If ZR and ZS are supplementary angles, what is…

A:

Q: In Circle O, line AOC is a diameter, line ADB is a secant, and  line BC is a tangent. If the measure…

A:

Q: 8. If LOVE is an isosceles trapezoid and mzLOV = 2x + 30 and LLEV = 50 , find the value of %3D x.

A: Given: is an isosceles trapezoid, . To find: Value of x.

Q: For trapezoid RSTV, line segment RS is parallel to line segment VT, and line segment MN is the…

A: The trapezoid property are MN segment = (segment RS + segment VT )/2 MN=(38+62.6)/2 MN=50.3

Q: If a ray QT bisects ZRQS , what would be the measure of one of the resulting angles? R x+1) (3x- 5)

A: Given data: m∠PQR=3x-5∘m∠SQR=x+1∘

Q: Triangle XYZ is congruent to Triangle ABC, AB = 8x + 33, XY = 2x + 57, BC = 3x + 48. Find the…

A: Given ,  Triangle XYZ is congruent to Triangle ABC AB = 8x + 33 , XY = 2x + 57, BC = 3x + 48 We have…

Q: Given that the two parallel lines are cut by a transversal, and the measure of 2 = 50 . Find each of…

A: To find: The value of ∠1 and ∠3. Given: The value of ∠2 is 50°. Formula used: The straight line…

Q: Show that BE and CD are parallel 13.5 A. 12 E 18

A: Given two triangles ADC, ABE, So we find,  BC/AB = 13.5/9 = 1.5 ED/AE = 18/12 = 1.5 Therefore, BC/AB…

Q: Suppose that C= A-B. Under what circumstances is the length of C equal to the sum of the lengths of…

A: First option is correct. When A and B point in opposite directions.

Q: 15. ZV and W are supplementary angles. If mZV is two degrees less than six times the measure of ZW,…

A:

Q: given (3,5) and (-2,1), fin the distance between these two points. If needed, leave the answer as a…

A:

Q: 5. In parallelogram QRST, if mZT =115° , then mZR=? T R

A:

Q: Corresponding angles, ZA and ZB, are formed when two parallel lines are intersected by a…

A: Concept: As we know that corresponding angle are always equal.

Q: The degree measures of two of the angles of a triangle are 49 and 6r, and the length of the Included…

A: A will be the right answer.

Q: For a quadrilateral ABCD, the measures of its angles are mZA = x + 16, mZB = 2(x + 1), mZC = ¿x -…

A: We have given measure of angles of quadrilateral ABCD . As we  know According to the angle sum…

Q: The sides of the pair of angles are parallel. Are 23 and Z4 congruent? 3

A: Given, the sides of the pair of angles are parallel.

Q: ZA and ZB are complementary angles. If mZA = (3x +25)° and ZB = (5x – 7)°, then find the measure of…

A:

Q: The measures of some angles and sides have been marked in the triangles. R 3 M What additional…

A: Two triangles are said to be congruent if their two corresponding sides and one included angle are…

Q: Consider the diagram of two intersecting lines and the angles that are formed. Which statement will…

A:

Q: What value of x makes the vertical parts of the letter N IN (2x+9)" When x the alternate interior…

A:

Q: 12. 11. 10. В .C

A: topic - congruent triangles

Q: APQR has side lengths of 8, 10, and 6. AABC is similar to APQR and AABC has a hypotenuse of length…

A: Given data is : ∆PQR has side lengths of 8, 10, and 6∆ABC~∆PQR∆ABC  has a hypotenuse of length 12To…

Q: In parallelogram PQRS, OP is extended to point T and ST is drawn. R T If ST = SP and mz R = 130°,…

A: In a parallelogram opposite angles are equal. Also the sum of angles in a triangle add to 180°. When…

Q: If the triangles shown are similar so that 3:4:5 = x:y:15, what are the values of x and y?

A: Given:

Q: 7) Savannah completed a proof showing that non-adjacent angles A and B are congruent. What is the…

A: Two angles are said to be congruent if the value of the angle are same.

Q: In parallelogram STUV, SV= x + 3, VU= 2x – 1 and TU= 4x – 3. Find the length of SV. U

A: Given : STUV is a parallelogram,  SV=x+3, VU=2x-1, TU=4x-3 We know that opposite sides of a…

Q: Is line segment AB congruent to CD and why? (Hint: use distance formula) -2 D B. a. Yes, because…

A: By using distance formula, we check line segments congruent or not.

Q: The Converse of the Corresponding Angles Theorem states thati ae ca bya transversal so that a pair…

A:

Q: Two congruent angles of an isosceles trapezoid have measures 3x + 10and 5x - 10. Find the value of x…

A: Given:

Q: Find the measure of angle PQR. 9. If PQRS is a rhombus, find (4X- 27)° Q (2X + 7)° R

A:

Q: 6. Parallel lines a and b are cut by transversal t as shown. 2/1 3 -> Which pair of angles are…

A: Here I am attaching image so that you understand each and every step.

Q: An angle is fifteen more than twice its complement. how large is the angle?

A: We need to find the angle with the given information.

Q: The sides of the pair of angles are parallel. Are 23 and 24 congruent? Th 3 4

A: Solution: Consider the given lines are parallel and then prove that angles are congruent. If we…

Q: Without using the geometry game and considering that lines AB and ED are parallel, show that…

A:

Q: In Circle O, AOC is a diameter ADB, is a secant, and BC  is a tangent. If the measure of arc DC is 3…

A:

Q: ZA and ZB are supplementary angles. If mZA= (2x + 26)° and m ZB = (x + 25)°, then find the measure…

A:

Q: Given that the two parallel lines are cut by a transversal, and the measure of 22 50°. Find each of…

A:

Q: 3. Solve the given line ar cystem by back cub ctitution. 2x2 143 = 2 「メ a. %3D 1人 = -5

A:

Q: In isosceles triangle RST, line segment RS is congruent to line segment ST. If measure of angle T =…

A:

Q: If UV is not parallel to WX, what is m2X? U (142°

A: Trapezium Angles  For a regular or isosceles trapezium, the sets of angles adjoined by parallel…

Q: Find m<2, if line segment TP is the angle bisector. Gnzl = 6x-2 and m/2 = 4x+ 18. %3D %3D Find m/2.

A: Given,         The line segment TP is the angle bisector.         ∠1 = 6x - 2 and        ∠2 = 4x +…

Q: When two parallel lines are cut by a transversal, the alternate exterior angles are O A) congruent.…

A: For the solution follow the next step.

Q: circle O, AOC is the diameter, ADB is a secant, and BC is a tangent. If the measure of arc DC is 3…

A: Aim:  To find the measure of  mAD⏜, mDC⏜, ∠BAC, ∠ABC, ∠ACB.   Given:  G1:AC is a diameter.  G2:BC…

Q: Lines l and m are intersected by transversal t, and l || m. Which of the following angles are…

A: Consider the traversal:

Q: 6. If APOR is an equilateral triangle, PQ = 18x + 1. QR=24x-17, and PR= 15x+ 10, find x and the…

A:

Q: In Circle O, AOC is a diameter, ADB is a secant, and  BC is a tangent. If the measure of arc DC is 3…

A: