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This is a geometry I question please explain your answer ty

This is a geometry I question please explain your answer ty-example-1
User HitScan
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Answer:

B. <Q = <R

Explanation:

Angles are related to their intercepted arcs. An intercepted arc is found by finding the arc segment on a circle whose endpoints connect with the segments that make up an angle.

In this case, TQ and SQ make up <Q, so TS is the intercepted arc of <Q. However, TR and SR make up angle <R as well, making TS the intercepted arc of <R as well.

This means that because the angles share an intercepted arc, they are congruent.

User Ansharja
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