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Given the following QS tisects ZPQR MZPQS - + 10 MLTÓW - 84 What is the value of ? O=4 O=6.5 O= 16 O= 42

Given the following QS tisects ZPQR MZPQS - + 10 MLTÓW - 84 What is the value of ? O=4 O=6.5 O= 16 O= 42

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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**Geometry Problem: Angle Bisector** **Diagram Description:** The image shows two intersecting lines, forming an X-shape. The points where the lines intersect are labeled as Q. The lines form the following labeled angles: ∠PQS, ∠TQW, ∠RQS, and ∠TQR. The line QS is indicated to bisect ∠PQR. **Given Information:** - QS bisects ∠PQR. - m∠PQS = 8x + 10 - m∠TQW = 84° **Question:** What is the value of x? **Options:** - A) x = 4 - B) x = 6.5 - C) x = 16 - D) x = 42
Transcribed Image Text:**Geometry Problem: Angle Bisector** **Diagram Description:** The image shows two intersecting lines, forming an X-shape. The points where the lines intersect are labeled as Q. The lines form the following labeled angles: ∠PQS, ∠TQW, ∠RQS, and ∠TQR. The line QS is indicated to bisect ∠PQR. **Given Information:** - QS bisects ∠PQR. - m∠PQS = 8x + 10 - m∠TQW = 84° **Question:** What is the value of x? **Options:** - A) x = 4 - B) x = 6.5 - C) x = 16 - D) x = 42
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