Question

EFG and GFH are a linear pair, m EFG = 4n+ 15, and mGFH = 2n + 39. What are mEFG and mGFH?

mEFG=
mGFH=

Answer 1

Find value of n first to find out what the angle measures are.

Linear angles have a sum of 180°.

Angle EFG + Angle GFH = 180

4n + 15 + 2n + 39 = 180

6n + 54 = 180

6n = 126

n = 21

Substitute n into the angles.

Angle EFG = 4(21) + 15 = 99°

Angle GFH = 2(21) + 39 = 81°