Question

Which equation correctly describes the relationship between the measures of the angle and arcs formed by the intersecting secants?

a) m∠1=21​(mPQ−mRS)
b) m∠1=21​(mPQ+mRS)
c) m∠1=mPQ−mRS
d) m∠1=21​mRS

Answer 1

The correct equation that describes the relationship between the measures of the angle and arcs formed by the intersecting secants is m∠1 = 1/2(mPQ + mRS).

Step-by-step explanation:

The correct equation that describes the relationship between the measures of the angle and arcs formed by the intersecting secants is

m∠1 = 1/2(mPQ + mRS)

This equation states that the measure of angle 1 is equal to half the sum of the measures of the arcs PQ and RS. It is important to note that the measurement of the arcs should be approximated as the straight-line distance AB in this case.