Question

HELP ASAP!!! explanation requiredd!

Answer 1

∠ E = 135° , FG = 10

Explanation:

The opposite sides and angles of a parallelogram are congruent.

Consecutive angles are supplementary, that is sum to 180°

Then

3x - 15 + 7x - 5 = 180 , that is

10x - 20 = 180 ( add 20 to both sides )

10x = 200 ( divide both sides by 10 )

x = 20

then

∠ G = 7x - 5 = 7(20) - 5 = 140 - 5 = 135°

∠ E = ∠ G = 135°

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EF = HG ( substitute values )

3y = y + 8 ( subtract y from both sides )

2y = 8 ( divide both sides by 2 )

y = 4

then

EH = 2(y + 1) = 2(4 + 1) = 2 × 5 = 10

FG = EH = 10

Answer 2

(7x-5)+(3x-15)=180°

10x-20=180

10x=200

x=20

(3x-15) + E = 180

3(20)-15 + E = 180

45 + E = 180

E = 135°

FG = EH = 2(y+1)