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42 votes
42 votes
HELP!
If CBF = 125°, then
HFG=
BFG=

HELP! If CBF = 125°, then HFG= BFG=-example-1
User Piljae Chae
by
3.1k points

2 Answers

18 votes
18 votes

Answer:

HFG=55° and BFG=125°

Explanation:

CBF=BFG=125°(Alternate angle)

HFG+BFG=180°

HFG=180°-125°

HFG=55°

User Dhpiggott
by
3.3k points
19 votes
19 votes

Answer:

∠ HFG = 55° , ∠ BFG = 125°

Explanation:

∠ CBF and ∠ BFG are alternate interior angles and are congruent , so

∠ BFG = ∠ CBF = 125°

∠ BFG and ∠ HFG are a linear pair and sum to 180° , then

∠ HFG + ∠ BFG = 180°

∠ HFG + 125° = 180° ( subtract 125° from both sides )

∠ HFG = 55°

User Sourabh Sharma
by
3.1k points