Question

If $\angle A$and $\angle B$are supplementary, find the value of x, $m\angle A$and $m\angle B$.

25. role="math" $m\angle A=x+16,$$m\angle B=2x-16$

Short answer

The value of x is 60.

The measures of angles A and B are $76°$and$104°$.

Step-by-step solution

Step 1. Definition of supplementary angles.

The supplementary angles are the angles whose sum is $180°$.

Step 2. Write the relation between the angles A and B.

As the angles A and B are supplementary, therefore, the sum of the angles A and B is $180°$.

Therefore, the relation between the angles A andB is$m\angle A+m\angle B=180°$

- Find the value of x.

Find the value of x using the relation