Question

Ray FG is an angle bisector of < EfH. If < GFH = 2 + 7 and < EFH = 7 − 21, what is the measure of < EFH ?

Answer 1

Explanation:

Let's denote the measure of angle EFH as x.Since Ray FG is an angle bisector of angle EFH, we know that angle GFE is also equal to x (as they are opposite angles).We also know that angle GFH is equal to 2x + 7, as given in the problem.Using the fact that the angles in a triangle add up to 180 degrees, we can write:x + x + 2x + 7 = 180Simplifying the equation, we get:4x + 7 = 180Subtracting 7 from both sides, we get:4x = 173Dividing by 4, we get:x = 43.25Therefore, the measure of angle EFH is x = 43.25 degrees.