Question

Angle EFG and gfh are a linear pair the measure of EFG equals 4n + 25 and the measure of gfh equals 3n + 15 what are the measures of EFG and the measure of gfh

Answer 1

Since angle EFG and GFH forms a linear pair, this only means that the sum of the two is equal to 180°. That is:

EFG + GFH = 180

 

So,

4n + 25 + 3n + 15 = 180

7n + 40 = 180

7n = 140

n = 20

 

Therefore:

EFG = 4n + 25 = 105°

GFH = 3n + 15 = 75°