Question

Find the measure of an angle which is 20° less than its supplement

Answer 1

X + x - 20 = 180
2x -20 = 180
2x = 200
X = 100°
X - 20 = 80°
Therefore measure of the angle is 80°

Answer 2

Concept

In mathematics, the meaning of supplementary refers to angles that together form a right angle. This means that two angles are considered complementary when they add up to 180 degrees. Two angles are supplementary if

One of its angles is acute and the other angle is obtuse.

Both angles are right angles.

This means that ∠A + ∠B = 180°.

Given

It is given that the measure of one angle is 20° less than its supplement

Find

We need to find that Angle

Solution

Let the measure of one angle be x

The measure of other angle is 20° less than is supplement

Measure of other angle is x-20

Measure of both angles = 180°

x + x-20 = 180

2x = 180+20

2x=200

x=200/2

x=100

Measure of other angle is x-20=100-20=80°

Hence the measure of both angles are 80° and 100°

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