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In the diagram, P QR is a line segment, ∠P QS = 125◦,∠QSR = x◦, and SQ = SR. What is the value of x?(A) 60 (B) 70 (C) 80(D) 110 (E) 125

Question

In the diagram, P QR is a line segment, ∠P QS = 125◦,∠QSR = x◦, and SQ = SR. What is the value of x?(A) 60 (B) 70 (C) 80(D) 110 (E) 125
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Solution 1

The problem states that SQ = SR, which means triangle QSR is an isosceles triangle. In an isosceles triangle, the base angles are equal.

The problem also states that ∠PQS = 125°. Since ∠PQS and ∠QSR are supplementary angles (they form a straight line), their measures add up to 180°.

So, we can s Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.

Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
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