Question

PLEASE HELP PLEASE!!!! AB←→||CD←→ . Find the measure of ∠BFG.

Answer 1

<BFG = 135

Explanation:

They are the same angle, so they will be equal to eachother.

3x + 15 = 5x - 5

-3x -3x

----------------------

15 = 2x - 5

+5 +5

-----------------------

20 = 2x

----- ----

2 2

10 = x

3(10) + 15

30 + 15

45

180-45 = 135

The answer is 135.

Answer 2

BFG = 135

Explanation:

The angles are alternate interior angles and alternate interior angles are equal when the lines are parallel

3x+15 = 5x-5

Subtract 3x from each side

3x+15-3x = 5x-5-3x

15 = 2x-5

Add 5 to each side

15+5 = 2x-5+5

20 = 2x

Divide by 2

20/2 = 2x/2

10 =x

We know that AFG + BFG = 180 since it forms a straight line

AFG + BFG = 180

3x+15 + BFG = 180

3(10) + 15 + BFG = 180

30+15 + BFG = 180

45 + BFG = 180

BFG = 180-45

BFG = 135