Question

In circle what is m angle1 ?

Answer 1

Answer:31

Explanation:

Answer 2

Option C:

The measure of ∠1 is 31°.

Solution:

Measure of intercepted arc = 37°

Measure of vertical arc = 25°

If two chords intersect inside a circle, then the measure of the angle formed is one half the sum of the measure of the arcs intercepted by the angle and its vertical angle.

`$\Rightarrow \angle 1 = (1)/(2) (37^\circ+25^\circ)`

`$\Rightarrow \angle 1 = (1)/(2) (62^\circ)`

`$\Rightarrow \angle 1 =31^\circ`

The measure of ∠1 is 31°.

Option C is the correct answer.