### Geometry Problems#### Problem 20Find the value of $ x $ if $ m\widehat{AB} = 59^\circ $ and $ m\widehat{CD} = 47^\circ $.#### Problem 21Given $ m\widehat{SQ} = 106^\circ $ and $ m\widehat{PR} = 120^\circ $, find $ x $.**Diagram:**A circle is drawn with four points: S, Q, P, and R. The diagram is not drawn to scale. There are two intersecting lines inside the circle: SQ and PR, which intersect at point X.**Choices:**a. $ 113^\circ $ b. $ 134^\circ $ c. $ 226^\circ $ d. $ 67^\circ $

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Description: ### Geometry Problems#### Problem 20Find the value of \( x $ if $ m\widehat{AB} = 59^\circ $ and $ m\widehat{CD} = 47^\circ $.#### Problem 21Given $ m\widehat{SQ} = 106^\circ $ and $ m\widehat{PR} = 120^\circ $, find $ x $.**Diagram:**A c

Consider a circle such that two chords to the circle intersect at a point inside the circle as shown…

Answered: 21. Given mSO = 106°, mPR = 120°, find…

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21. Given mSO = 106°, mPR = 120°, find x %3D %3D

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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### Geometry Problems

#### Problem 20
Find the value of $ x $ if $ m\widehat{AB} = 59^\circ $ and $ m\widehat{CD} = 47^\circ $.

#### Problem 21
Given $ m\widehat{SQ} = 106^\circ $ and $ m\widehat{PR} = 120^\circ $, find $ x $.

**Diagram:**
A circle is drawn with four points: S, Q, P, and R. The diagram is not drawn to scale. There are two intersecting lines inside the circle: SQ and PR, which intersect at point X.

**Choices:**
a. $ 113^\circ $
b. $ 134^\circ $
c. $ 226^\circ $
d. $ 67^\circ $

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