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09.07.2022 - 20:58

Quadrilateral QRST is a square. If the measure of angle RQT is 5x – 10, find the value of x.

Question:

Quadrilateral QRST is a square. If the measure of angle RQT is {eq}5x – 10 {/eq}, find the value of {eq}x {/eq}.

A: 90

B: 18

C: 16

D: 20

Answers (1)

Etta April 2, 2023 в 14:30

In a square, all angles are right angles and have a measure of 90 degrees. Since angle RQT is in the square QRST, it must also have a measure of 90 degrees. Therefore, we can set the given expression for the measure of angle RQT equal to 90 degrees and solve for x: {eq}5x - 10 = 90{/eq} {eq}5x = 100 {/eq} {eq}x = 20 {/eq} So the value of x is 20, which corresponds to answer choice D.

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