Question

In the following diagram lines m are n parallel the measures of AEB, BAE and CED are shown what is the measure of EBF

Answer 1

∠ EBF = 98°

Explanation:

(3x - 15) and (2x + 10) are vertically opposite angles and are congruent, then

3x - 15 = 2x + 10 ( subtract 2x from both sides )

x - 15 = 10 ( add 15 to both sides )

x = 25

3x - 15 = 3(25) - 15 = 75 - 15 = 60°

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ EBF is an exterior angle of the triangle , then

∠ EBF = 60° + 38° = 98°