Question

Write an algebraic equation based on the description. Two angles form a linear pair. The measure of one angle is 24° more than the measure of the other angle.

Answer 1

Answer:-

Given:

Two angles form a linear pair.

It means sum of their measures = 180°.

And,

Measure of one angle is 24° greater than the other.

Let the other angle be x.

→ First angle = (x + 24)

According to the question,

→ x + x + 24 = 180

→ 2x = 180 - 24

→ 2x = 156

→ x = 156/2

→ X = 78°

Therefore,

• 1st angle = 78°
• 2nd angle = 78° + 24° = 102°