Question

Which equation correctly describes the relationship between the measure of the inscribed angle and the measure of the intercepted arc in the figure?

Can some one plz check my answer and if it is wrong explain why it is so

Answer 1

Option A is correct answer.

Explanation:

Here, in the diagram attached we can see that he inscribed angle is ∠PQR. Inscribed angle means that its vertex lies on the circumference of the circle. An arc PR can be drawn, so PR is the arc.

The relation between inscribed angle and arc is that the arc is double the angle or the measure of angle is half the arc.

Hence,

`PQR=(1)/(2)PR`

Hence, option A is the answer.

Answer 2

we know that

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

in this problem
The inscribed angle=∠PQR
the arc it comprises=m arc PR

therefore

∠PQR=(1/2)* m arc PR

the answer is the option A
see the attached figure