Question

QUESTION IS DOW BELOW 30 POINTS EACH PLEASE HELP PLEASE HELP PLEASE HELP

Answer 1

Applying the inscribed angle theorem, we have the following measures:

a. Measure of angle RQT = 79°

b. Measure of angle QTS = 51°

What is the Inscribed Angle Theorem?

Based on the inscribed angle theorem, the measure of an inscribed angle (i.e. angle RQT and angle QTS) of a circle is half the measure of each  of their respective intercepted arcs (arc RQT and arc QRS).

Given the following:

Measure of arc RQT = 202°

Measure of angle QRS = 129°

a. Find the measure of angle RQT:

Measure of angle RQT = 1/2(360 - 202) [inscribed angle theorem]

Measure of angle RQT = 1/2(158)

Measure of angle RQT = 79°

b. Find the measure of angle QTS:

Measure of angle QTS = 1/2(360 - 2(measure of angle QRS)) [inscribed angle theorem]

Measure of angle QTS = 1/2(360 - 2(129))

Measure of angle QTS = 1/2(102)

Measure of angle QTS = 51°

In summary, applying the inscribed angle theorem, we have the following measures:

a. Measure of angle RQT = 79°

b. Measure of angle QTS = 51°

Learn more about the inscribed angle theorem on:

brainly.com/question/3538263

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