Question

Among two supplementary angles the measures of the larger angle is 44° more than the measure of the smaller. Find there measures.

Answer 1

Let one angle be x°.
Another angle will be x+44°
According to question,
Both are supplementary
So,
x+ x+ 44° = 180°
2x = 180-44 = 136°
x= 68°
Angles are 68° and 112°.

Answer 2

The measure of other two angles are 68 degree and 112 degree

Solution:

Given that among two supplementary angles the measures of the larger angle is 44° more than the measure of the smaller

Let the smaller angle be "x"

So, larger angle = x + 44

Supplementary angles are two angles whose sum is 180 degrees

We know that sum of supplementary angles is always 180 degree

smaller angle + larger angle = 180

x + x + 44 = 180

2x + 44 = 180

2x = 180 - 44 = 136

2x = 136

x = 68

Thus smaller angle is 68 degree

Larger angle = x + 44 = 68 + 44 = 112 degree

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