If the compliment of an angle is one - fifth it's supplement. Find it's measurement
of angle.

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Solution

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°

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Similar questions

An angle is one fifth of its supplement. The measure of the angle is

(a) $15^{\circ}$

(b) $30^{\circ}$

If an angle is 30 degree more than half of its compliment , find the measure of the angle

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