Answer in Brief

The supplement of an acute angle is .................

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#### Solution

The supplement of an acute angle is __an obtuse angle.__

__Explanation__:

As the sum of the supplementary angles is 180°.

Let one of the angle measures x°, such that x < 90

Let the other angle measures y°

As the angles are supplementary there sum is 180°.

x + y = 180° ..... (1)

x < 90° ....... (2)

Now subracting (1) from (2)

-y < - 90°

y > 90°

Then, other angle *y* is clearly an obtuse angle.

__Illustration__:

Let the given acute angle be 30°

Then, the other angle becomes

(180 - 30)° = 150°

This is clearly an obtuse angle.

Concept: Introduction to Lines and Angles

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