221k views
3 votes
Given FGE, find m=HFE if m=G - 65°
A. 25°
B. 50°
C. 60°
D. 65°​

Given FGE, find m=HFE if m=G - 65° A. 25° B. 50° C. 60° D. 65°​-example-1
User Ozlevka
by
4.8k points

2 Answers

3 votes

The correct answer is option A. 25°

User Gilad Naor
by
5.3k points
5 votes

Answer:

The correct answer is option A. 25°

Explanation:

From the figure we can see an isosceles triangle. FGE

<G = 65° (given)

m<G = m<E = 65°

To find the value of m<HFE

Consider the triangle FHE in the figure we get,

m<E + m<HFE + m<FHE = 180

m<HFE = 180 - (m<E + m<FHE)

= 180 - (65 + 90) = 25°

Therefore m<HFE = 25°

The correct answer is option A. 25°

User Shelton
by
4.6k points