Question

EFG and GFH are a linear pair, m EFG = 4n + 20, and m GFH = 5n +16 what are m EFG and m GFH?

Answer 1

m<EFG = 84

m<GFH = 96

Explanation:

The measures of the angles of a linear pair add to 180 degrees.

m<EFG and m<GFH = 180

4n + 20 + 5n + 16 = 180

9n + 36 = 180

9n = 144

n = 16

m<EFG = 4n + 20 = 4(16) + 20 = 84

m<GFH = 5n + 16 = 5(16) + 16 = 96