Question

EGF and GFH are a linear pair, m EFG = 4n + 15, and m GFH = 5n + 39. what are m EFG and m GFH?

Answer 1

The angles of ∠EFG  and ∠GFH are 71° and  109°

What are linear pair angles?

Linear pair of angles are formed when two lines intersect each other at a single point.

In other words, a linear pair of angles is a pair of adjacent angles formed when two lines intersect each other.

Linear pair angles are supplementary. This means the sum of  a linear pair angles is 180 degrees.

Therefore,

∠EFG + ∠GFH = 180

Therefore,

∠EFG = 4n + 15

∠GFH = 5n + 39

hence,

4n + 15 + 5n + 39 = 180

9n + 54 = 180

9n = 180 - 54

9n = 126

n = 126 / 9

n = 14

Hence,

∠EFG = 4n + 15 = 4(14) + 15 = 71°

∠GFH = 5n + 39 = 5(14) + 39 = 109°

learn more on linear pair angles here: brainly.com/question/28264317

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