complete the proof that $ \angle g i h \cong \angle e i f $.

1 $ m \angle e i f + m \angle f i g = 180 ^ { \circ } $ angles forming a linear pair sum to $ 180 ^ { \circ } $
2 $ m \angle f i g + m \angle g i h = 180 ^ { \circ } $ angles forming a linear pair sum to $ 180 ^ { \circ } $
3 $ m \angle e i f + m \angle f i g = m \angle f i g + m \angle g i h $ transitive property of equality
4 $ m \angle e i f = m \angle g i h $ properties of addition, subtraction, multiplication, and division
5

Question

complete the proof that $ \angle g i h \cong \angle e i f $.

1 $ m \angle e i f + m \angle f i g = 180 ^ { \circ } $ angles forming a linear pair sum to $ 180 ^ { \circ } $
2 $ m \angle f i g + m \angle g i h = 180 ^ { \circ } $ angles forming a linear pair sum to $ 180 ^ { \circ } $
3 $ m \angle e i f + m \angle f i g = m \angle f i g + m \angle g i h $ transitive property of equality
4 $ m \angle e i f = m \angle g i h $ properties of addition, subtraction, multiplication, and division
5

Accepted Answer

# Explanation:
## Step1: Recall the definition of congruent angles
If the measures of two angles are equal, then the angles are congruent.
We have shown that $m\angle EIF=m\angle GIH$ in step 4.
## Step2: Write the congruence statement
By the definition of congruent angles (if $m\angle A = m\angle B$, then $\angle A\cong\angle B$), when $m\angle EIF=m\angle GIH$, we can say $\angle GIH\cong\angle EIF$.

# Answer:
$\angle GIH\cong\angle EIF$ (Definition of congruent angles)

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QUESTION IMAGE

Question

Explanation:

Step1: Recall the definition of congruent angles

Step2: Write the congruence statement

Answer: