271,629 views
15 votes
15 votes
Which equation correctly describes the relationship between the measure of the inscribed angle and the measure of the intercepted arc in the figure? m∠PQR=360°−mPR⏜ m∠PQR=12mPR⏜ m∠PQR=2(mPR⏜) m∠PQR=mPR⏜ Circle with two chords. Point Q at 10 o clock, point P at 3 o clock, and point R at 6 o clock are on the circle. Segment Q R and Q P share a common end-point at point Q.

User Yahya
by
2.8k points

1 Answer

12 votes
12 votes

Answer:

Your answer is ∠PQR=(1/2)* m arc PR.

Explanation:

The Angle Described is one that has its vertex in the circumference. The inscribed angle measures half of the arc it comprises.

So, in this problem, The inscribed angle=∠PQR

The arc it comprises=m arc PR too.

So therefore:

∠PQR=(1/2)* m arc PR is the answer

User RobertoNovelo
by
3.0k points