Question

If mZEFH = (5x + 1)', mZHFG = 62°, and mZEFG = (18x + 11)', find each measure.

Answer 1

Step-by-step explanation:

Given

mZEFH = (5x + 1)'

mZHFG = 62°

mZEFG = (18x + 11)',

The addition property of the angle is true

mZEFG = mZEFH + mZHFG

(18x + 11) = (5x + 1)'+  62

18x+11 = 5x + 63

collect like terms

18x - 5x = 63-11

13x = 52

divide both sides by 13

13x/13 = 52/13

x = 4

Since angle mZEFH = (5x + 1)' and x = 4, we will substitute x = 4 into the function;

mZEFH = 5(4) + 1

mZEFH = 20 + 1

mZEFH = 21°

Similarly for mZEFG = (18x + 11)'

mZEFG = 18(4) + 11

mZEFG =72+11

mZEFG = 83°