Answer:
59°
Step-by-step explanation:
Use the equation:
( 6x - 1 )° + ( 5x + 14 )° = 123°
Combine like terms
6x + 5x = 11x -1 + 14 = 13
New simplified equation:
11x + 13 = 123
Subtract 13 from both sides of the equation
11x + 13 = 123
-13 -13
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.
Equation now:
11x = 110
Divide both sides of the equation by 11
[tex]\frac{11x}{11}[/tex] = [tex]\frac{110}{11}[/tex]
Solve
x = 10
Solve for the measure of angle H
Plug in the variable
6(10) - 1
60 - 1 = 59
measure of angle H is 59°
