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angle A is 90', angle Bis 90", angle C is 90", and angle D is 90 angle A is 80°, angle B is 80°, angle C is 100°, and angle D is 100° angle A is 70°, angle B is 110, angle C is 70°, and angle D is 110 angle A is 60", angle B is 50°, angle C is 120°, and angle D is 130 angle A is 50", angle Bis 40", angle Cis 120°, and angle D is 150 drilateral ABCD is cyclic with given angle measures. B What is the measure of angle C? 75° What is the measure of angle D? 135° D

angle A is 90', angle Bis 90", angle C is 90", and angle D is 90 angle A is 80°, angle B is 80°, angle C is 100°, and angle D is 100° angle A is 70°, angle B is 110, angle C is 70°, and angle D is 110 angle A is 60", angle B is 50°, angle C is 120°, and angle D is 130 angle A is 50", angle Bis 40", angle Cis 120°, and angle D is 150 drilateral ABCD is cyclic with given angle measures. B What is the measure of angle C? 75° What is the measure of angle D? 135° D

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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1. A quadrilateral ABCD has the given angle measures. Select all measurements which could come from a cyclic quadrilateral. A. angle A is 90°, angle B is 90°, angle C is 90°, and angle D is 90° B. angle A is 80°, angle Bis 80', angle C is 100°, and angle Dis 100* C. angle A is 70°, angle B is 110°, angle C is 70°, and angle D is 110° D. angle A is 60", angle B is 50°, angle C is 120°, and angle D is 130° E. angle A is 50°, angle B is 40°, angle C is 120°, and angle D is 150° 2. Quadrilateral ABCD is cyclic with given angle measures. a. What is the measure of angle C? 75° b. What is the measure of angle D? 135° A
Transcribed Image Text:1. A quadrilateral ABCD has the given angle measures. Select all measurements which could come from a cyclic quadrilateral. A. angle A is 90°, angle B is 90°, angle C is 90°, and angle D is 90° B. angle A is 80°, angle Bis 80', angle C is 100°, and angle Dis 100* C. angle A is 70°, angle B is 110°, angle C is 70°, and angle D is 110° D. angle A is 60", angle B is 50°, angle C is 120°, and angle D is 130° E. angle A is 50°, angle B is 40°, angle C is 120°, and angle D is 150° 2. Quadrilateral ABCD is cyclic with given angle measures. a. What is the measure of angle C? 75° b. What is the measure of angle D? 135° A
Expert Solution
Step 1

As we know that sum of opposite angle of cyclic quadrilateral is 180°

That means in a quadrilateral 

Angle A + Angle C =180°

Angle B + Angle D  =180°

 

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