Among two supplementary angles, the measure of the longer angle is 44° more than the measure of the smaller angle. Find their measures.

Given :

Among two supplementary angles, the measure of the longer angle is 44° more than the measure of the smaller angle.

To find :

We have to find the angles.

Solution :

Let the measure of the smaller angle be x.

This implies,

The measure of the longer angle $= x+44°$

We know that,

The sum of the measures of the supplementary angles is 180°.

$x+x+44° = 180°$

$2x = 180° -44°$

$2x = 136°$

$x = \frac{136°}{2}$

$x = 68°$

The measures of the angles are 68° and $(68+44)° = 112°$ .

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Updated on: 10-Oct-2022

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