Respuesta :

The measure of the angle is 50°.

Supplementary Angle

When the sum of two angles measures up to 180° then these angles are known as supplementary angles of each other.

for example, ∠x + ∠y = 180°, therefore, the ∠x and ∠y are the supplementary angles of each other.

Complementary Angle

When the sum of two angles measures up to 90° then these angles are known as complementary angles of each other.

for example, ∠x + ∠y = 90°, therefore, the ∠x and ∠y are the complementary angles of each other.

Let's assume that the angle is x.

The supplementary angle of x is (180°-x).

The complementary angle of x is (90°-x).

According to the question,

(180°-x) =  4(90°-x)-30°,

(180°-x) =  4(90°-x)-30°

180 - x =  360 - 4x - 30

4x - x = 360 - 30 -180

3x = 150

x = 50°

Hence, the measure of the angle is 50°.

Learn more about Supplementary and Complementary angles:

https://brainly.com/question/3027144