Question

If FBG = 65o, what is the measure of its complement EBF?

Answer 1

Complementary angles add up to get a 90 degree angle(right angle) so what you do here is subtract 65 from 90, and you get 25, so your answer would be 25 degrees

Answer 2

The measure of the angle ∡EBF is 25°.

Explanation:

The difficult in this exercise is to know the definition of complementary angles. So, we said that to angles are complementary if they sum is a right angle (90°). So, from the statement of the problem we know that

∡FBG+∡EBF = 90° (because they are complementary).

So, ∡EBF = 90°-∡FBG.

Then, substituting the measure of ∡FBG we obtain ∡EBF= 90°-65°=25°.