Question

(write and solve an algebraic equation to find the measure of each angle based on the given description.)

***11. Two angles form a linear pair. The measure of one angle is 24° more than the
measure of the other angle.

Answer 1

The angles are 78° and 102°.

Explanation:

Let the one angle is y and the other number if y + 24.

The sum of the angles of the linear pair is 180°.

So, according to the question

y + y + 24 = 180

2 y = 180 - 24

2 y = 156

y = 78°

So, one angle is 78° and the other is 78° + 24° = 102°.