The quadrilateral RSTU is inscribed in the circle shown below. Jake wants to prove the theorem that says that the measure of the quadrilateral's opposite angles add to 180°. He knows that the measure of angle Ris half the measure of arc STU and that the measure of angle Tis half the measure of arc SRU. Which of the following is an appropriate step to prove that R+ T=180°? Yes No Assume that the measure of arc STU is 140° and that the measure of arc SRU is 220°. Assume that the measure of arcs STU and SRU add up to 360°. Substitute 2· m.R for arc STU. Substitute - m.T for arc SRU. 000 0

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
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The quadrilateral RSTU is inscribed in the circle shown below.
Jake wants to prove the theorem that says that the measure of the quadrilateral's opposite angles add to 180°. He knows that the measure of angle Ris half the measure
of arc STU and that the measure of angle Tis half the measure of arc SRU.
Which of the following is an appropriate step to prove that R+ T=180°?
Yes No
Assume that the measure of arc STU is 140° and that the measure of arc SRU is 220°.
Assume that the measure of arcs STU and SRU add up to 360°.
Substitute 2 ·m²R for arc STU.
1
Substitute
mzT for arc SRU.
Transcribed Image Text:The quadrilateral RSTU is inscribed in the circle shown below. Jake wants to prove the theorem that says that the measure of the quadrilateral's opposite angles add to 180°. He knows that the measure of angle Ris half the measure of arc STU and that the measure of angle Tis half the measure of arc SRU. Which of the following is an appropriate step to prove that R+ T=180°? Yes No Assume that the measure of arc STU is 140° and that the measure of arc SRU is 220°. Assume that the measure of arcs STU and SRU add up to 360°. Substitute 2 ·m²R for arc STU. 1 Substitute mzT for arc SRU.
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