What is the measure of ∠y? 43° 68° 86° 172°

Solution:

Here we are given the arc xz=86.

we have been asked to find the measure of angle Y.

As we know that the Inscribed angle is Half of the measure of the intercepted arc.

Here intercepted arc=86

So we can write

Hence the value of the angle y is 43 degrees.

The measure of is . Option (a) is correct.

Further explanation:

The angle subtended by an arc at center is double of the angle subtended by the arc at any point on the circle.

Given:

The options are as follows,

(a).

(b).

(c).

(d).

Explanation:

The central angle of the circle is

The can be obtained as follows,

The measure of is . Option (a) is correct.

Option (a) is correct.

Option (b) isnot correct.

Option (c) is not correct.

Option (d) is not correct.

Learn more:

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Polynomial

Keywords: angle, measure of Y, 43 degree, measure, arc, half, double, inscribed, subtended angle, central angle.