Question

1.5.25ZEFG and ZGFH are a linear pair, mZEFG = 5n + 21, and mZGFH=4n + 15. What are m ZEFG and mZGFH?mZEFG=mZGFH = ”(Simplify your answers.)

Answer 1

Linear pairs of angles:

It means that they add to 180º.

In this question:

mZEFG = 5n + 21

mZGFH =4n + 15

Since they are linear:

mZEFT + mZGFH = 180

5n + 21 + 4n + 15 = 180

9n + 36 = 180

9n = 180 - 36

9n = 144

n = 144/9

n = 16

Now we have n, so we can find the measures of both angles.

mZEFG = 5n + 21 = 5*16 + 21 = 80 + 21 = 101

mZGFH =4n + 15 = 4*16 + 15 = 64 + 15 = 79

Answer:

mZEFG = 101, mZGFH = 79