An angle is one fourth of its supplement and two fifth of its complement the measure of the angle is

Answer:

Supplementary angles are those angles that sum up to 180 degrees. Two angles are supplementary, if

• One of its angles is an acute angle and another angle is an obtuse angle.
• Both of the angles are right angles.

Given:

• Let one angle = x°
• It’s supplementary angle = ( 180 – x )°

According to the problem given ,

x = (180 – x ) / 5

5x = 180 – x

5x + x = 180

6x = 180

x = 180/6

x = 30°

Therefore ,

First angle = x = 30°

It’s supplement = 180 – x

= 180 – 30

= 150°

∴ The measurement of the angle is 30°.

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