EFGH is a parallelogram. Angle G Equals what degrees

Question

asked Oct 28, 2021 157k views

1 Answer

Dharam Mali · Answer 1 · 2021-11-02T07:25:48+0000

Answer:

Explanation:

since it's a parallelogram, then G equals 180 - (7x + 8), using laws of lines and angles, corresponding angles.

But we need to get x, both F and H are cogruent angles, i.e, they are equal, opposite angles are equal so,

$9x - 14 = 7x + 8\\9x - 7x = 8 + 14\\2x = 22\\x = 11$

so x = 11, then we find G

$G = 180 - (7x + 8)\\G = 180 - (7(11) + 8)\\G = 180 -(77 + 8)\\G = 180 - 85\\G = 95$