Answer:
59°
Step-by-step explanation:
<u>Use the equation:</u>
( 6x - 1 )° + ( 5x + 14 )° = 123°
<u>Combine like terms</u>
6x + 5x = 11x -1 + 14 = 13
<u>New simplified equation:</u>
11x + 13 = 123
<u>Subtract 13 from both sides of the equation</u>
11x + 13 = 123
-13 -13
<em>We are subtracting because the opposite of addition is subtraction and we are using PEMDAS backwards to isolate the variable 'x' on one side of the equation.</em>
<u>Equation now:</u>
11x = 110
<u>Divide both sides of the equation by 11</u>
= 
<u>Solve</u>
x = 10
<u>Solve for the measure of angle H</u>
<em>Plug in the variable</em>
6(10) - 1
60 - 1 = 59
measure of angle H is 59°