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°
