Question

The measures of two vertical angles are given by the expressions (x+16)° and (2x - 3).

Find the value of x . What is the measure of each angle?

Answer 1

see explanation

Explanation:

vertical angles are congruent , then

2x - 3 = x + 16 ( subtract x from both sides )

x - 3 = 16 ( add 3 to both sides )

x = 19

Then

x + 16 = 19 + 16 = 35°

since the angles are congruent , then

the measure of each angle is 35°