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QUESTION IMAGE

circle t is shown in the diagram below. select the true statement. m∠rq…

Question

circle t is shown in the diagram below. select the true statement. m∠rqs = m∠rts m∠rqs = 1/2m∠rts m∠rqs = 2m∠rts m∠rqs = 180 - m∠rts

Explanation:

Step1: Recall inscribed - central angle relationship

The measure of an inscribed angle ($\angle RQS$) in a circle is half the measure of the central angle ($\angle RTS$) that subtends the same arc ($\overset{\frown}{RS}$).

Answer:

$m\angle RQS=\frac{1}{2}m\angle RTS$