1. In isosceles AMUG with base UG, m2U = 8x – 20, and mzG = 4x + 20. Find the measures of base angles.

Q: 1. PORST is a pentagon inscribed in a circle. If ZRPS = 30°, ZQSR = 32°,ZPQS = 68° and SR = TS, find…

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Q: Find the sum of the measures of the interior angles of a poly- gon of n sides if: a) n = 6 b) n = 8

A: To find: The sum of the measures of the interior angles of a polygon of sides 6 and 8.

Q: 27. If m ZACD = 450 and AD = 14 cm, find AC. 27. A 28. If m ZCAD = 30° and AD = 12 cm, find CD. 28.…

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Q: 8. In AFUN, m<F = 35°, m<U = 82°, and side f = 4 inches. Find the length of side u to the nearest…

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Q: 8. Given AABC AJFK, find the ratio of the areas. 18 B 24 3.

A: Ratio is 9 times. When two triangles are similar and their sides are in definite ratio then area is…

Q: What is the approximate degree measure of an angle of 2.95 rad?

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Q: The pair of triangles are similar. 3 in. 10 in. 4 in. 8 in. What is the value of x?

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Q: 19. Suppose a triangle with area 6 has sides of lengths 3 and 8. Find the angle between those two…

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Q: In Case 1-(Center O in AB, one side of the angle), Theorem 42-(An angle inscribed in a circle is…

A: Figure

Q: In square ABCD (not shown), point E lies on side DC. If AB = 8 and AE = 10, find BE.

A: Consider the given information as AB=8, AE=10

Q: Find the sum of the measures of the interior angles of the given figure. O 1980° O 1440° O 1260°

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Q: In parallelogram GRAM, MZGRP = 31°, MZPAM = 38°, and mZGMA = 67°. Give the requested angle measures.…

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Q: ) Based upon the angle-angle criterion for similarity of triangles, which of the following triangles…

A: There are three triangles given and all are right angled triangle. In triangle 1, angle E is 64 and…

Q: O Find the sum of the measures of the interior angles of a convex 20-gon.

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Q: . If two sides a and b and the included angle C are knownin a triangle, then the area K is found…

A: Two side a and b  and angle C of a triangle is given, we have to find formula for area of a triangle

Q: In right triangle ABC with right angle C, the length of AB is 31 and the length of BC is 14. Find…

A: In a right triangle ABC ,  we have given length of AB = 31 length of BC = 14

Q: Given Triangle MLK, KL=9, KM=9.4, and the measure of the angle K= 60degrees . What is the length of…

A: Given Triangle MLK, KL=9, KM=9.4, and the measure of the angle K= 60degrees . What is the length of…

Q: 3 The interior angle of a regular polygon is 135', how many sides has the polygon?

A: The interior angle of a regular polygon is 135° To evaluate : The number sides of regular polygon

Q: In Fig. R3.13, what is the size of the angle Fig. R3.12 2) In Fig. R3.13, what is the size of the…

A: In figure three parallel lines A, B and C are given with a transversal line cutting them.

Q: 2. Construct an angle congruent to LBAC using ray EF. E Measure BAC. 128°

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Q: Find the measures of the numbered angles. #5 1 2 76° m 6 7 ar 21 = CO 5

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Q: 1. Given that the yellow segments are midsegments, which set of segments are parallel?

A: We are given that yellow segments are mid-segments. Now, we need to find the segments that are…

Q: 3. Find the measures of the numbered angles in each kite.

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Q: 4. Whal 13 LI 5. Each interior angle of a regular polygon measures 160°. How many sides does the…

A: Question 5 : As Many Questions are given , I will solve only one : It is Given that the interior…

Q: In ⊙P, AB¯¯¯¯¯¯¯¯ is drawn through P, and AC¯¯¯¯¯¯¯¯ and PC¯¯¯¯¯¯¯¯ are drawn as well with A, B, and…

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Q: 8. Define the angles of the triangle with sides that are the following length: adj = 6, opp = 8. %3D…

A: Given:-Adjacent=6Opposite=8

Q: 16) Find the measures of all five angles of pentagon ABCDE 以CA- X+31 以cB= X+4 B(x+ wZD= 2X aCE=x+い…

A: A pentagon has n=5 sides. So the total sum of the interior angles= 180(n-2)= 180(5-2)=180(3)=540…

Q: Find the sum of the measures of the internor angles in the fi gure.

A: Consider the figure-

Q: 1. Find the sum of the measures of the interior angles in the figure.

A: The objective of the question is evaluate the sum of interior angle of the heptagon.

Q: What is the approximate agree measure of an angle of 4.59 rad

A: Degree is 263° approximate

Q: 5) Determine the measures of angles 1 through 8. 55 120°

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Q: If AF 1 EF and AF 1 AD, find the measure of each interior angle of the irregular polygon above.

A: JOIN AD BY USING THEOREM that if lines are parallel then sum of co-interior angle is 180. 2) if…

Q: 1. Use a protractor to measure the angle to the nearest 5 degrees. measure of angle A =

A: Given  Consider the figure

Q: 1. Given the following diagram, find the measures of the four angles in parallelogram АВCD. 501 A E

A: We have to find four angles of a parallelogram

Q: 1. In cirde P, if mQR = 110", mRS = 94', and .ZQRT = 27', find each measure. %3D %3D

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Q: 10 Find to the nearest tenth the length of one of the congruent sides of an isosceles triangle if…

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Q: 8) Given the following angles of a regular polygon, 120°, (3x+5)°, (x)°, 45°, 135°, (x-45)°, and…

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Q: 11. If the interior angle of a regular polygon measures 108°, how many sides does the polygon have?

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Q: 1. What is the sum of the degrees of the interior angles of a 19-gon? 1.

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Q: if triangle AED is equilateral (24 cms each side), and we know m angle BAC + m angle DAE = 160…

A: The required area is given by total area=area of the sector BAC+area of equilateral triangle DAE.…

Q: Calculate the following: 1. central angle 2. bisected angle 3. apothem 4. 2 length of side 5. length…

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Q: 11, An exterior angle of a regular polygon is 45°. How many sides has the poly- gon?

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Q: In circle O, AE measures of each of the five angles in pentagon ABCDE. = 120° and CD = 42°. Find the

A: Consider the given circle O Given AE⏜=120° and CD⏜=42° We have to find five all angle within he…

Q: 16. In AJKL, if m/K is nine more than mJ and mZL is 21 less than twice mJ, find the measure of each…

A: The figure corresponding to the given data is

Q: 2. The purmeter of a triangle is 38 yarda. If the lengths oF two Sides ares It yards and 17 yards.…

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Q: 1) If the measure of each interior angle of a regular is 171, find the number of sides of the…

A: Here We will use the formula Interior angle of regular polygon = (180°(n)-360°)/n here Interior…

Q: 14. Equllateral AABC and isosceles ADBC share side BC. If m2 BD = BC, what is the measure of LABD?…

A: triangle ABC is equilateral then each angle will be 60 degree

Q: 2. Given the following angle measures of ACAT, write the sides in order from smallest to longest.…

A: The triangle △CAT is shown in the figure below, The sum of the angles of a triangle is always 180°.…