# What is the measure of 3?

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## Question:

What is the measure of 3? The measure of angle 3 is 60 degrees, the correct option is B.

Given

In the diagram, g is parallel to h.

The measurement of angle 1 is (4x +36).

The measurement of angle 2 is (3x-3).

Interior angles;

The angles that lie in the area enclosed between two parallel lines that are intersected by a transversal are also called interior angles.

∠1 and ∠2 are the same side interior angles and are supplementary then the sum of both angles is equal to 180 degrees. The measure of the angle 2 is = 3(21)- 3= 63 – 6 = 60 degrees.

Hence, Angle 2 and ∠3 are alternate angles and congruent then the measure of angle  3 is 60 degrees.