a (2x+27) Find the value of x for which a || b. Then find the measure of the labeled angles.
b
(3x-27)
To find the value of x for which a || b, we need to set the equations for a and b equal to each other and solve for x.
a: 2x + 27
b: 3x - 27
To find the value of x for which a || b, set the equations equal to each other:
2x + 27 = 3x - 27
Simplify the equation:
27 = x - 27
Add 27 to both sides:
54 = x
So the value of x for which a || b is x = 54.
To find the measure of the labeled angles, substitute x = 54 into the equations for a and b:
a = 2(54) + 27 = 108 + 27 = 135
b = 3(54) - 27 = 162 - 27 = 135
Therefore, the measure of the labeled angles is 135 degrees.