Question

Based on your value of x in question #1, what is the value for ∠EHF

1) 132 degrees
2) 96 degrees
3) 180 degrees
4) 90 degrees

Answer 1

Angles are supplementary hence their sum is 180°

So

• 2x+48=180
• 2x=180-48
• 2x=132
• x=66

So

<EHF=2(66)=132°

Answer 2

∠EHF = 132°

Explanation:

Both angles lie on a straight line.

=====================

• ∠EHF + ∠FHG = 180°

• 2(x) + 48° = 180°

• 2(x) = 180° - 48°

• 2(x) = 132°

• x = 66°

Then ∠EHF :

• 2(x)

• 2(66)

• 132°