Question

if angle HFG is complementary to angle ACB, then _____.

A) angle ACB is complementary to angle DFH

B) angle ACB is congruent to angle DFH

C) angle ACB is supplementary to angle DFH

D) angle ACB is congruent to angle HFG

Answer 1

I'm pretty sure the answer is b

Answer 2

Answer with explanation:

It is given that, ∠H F G is complementary to ∠A CB.

The meaning of word Complimentary is that, sum of two angles is 90°.

⇒∠H F G + ∠ A CB=90°----(1)

Also, When you will look at the given depicted Image

⇒∠DFH + ∠GFH=90°------(2)

 ∠DFH and  ∠GFH are complementary angles.

From , (1) and (2)

⇒∠H F G + ∠ A CB=∠DFH + ∠GFH

 ⇒ ∠ A CB=∠D F H

→→Option B: ∠ ACB is congruent to ∠ DFH.