Answer:
x = 8
Step-by-step explanation:
From the figure attached,
'b' and 'c' are the parallel lines and line 'a' is a transversal line intersecting parallel lines at the points respectively.
Line 'a' is perpendicular to line 'b'.
Angle between lines 'a' and 'b' is 90°.
Therefore, m(∠X) + 90° = 180° [Linear pair of angles]
m(∠X) = 90°
Since, angle X and angle having measure [5(x + 7) + 15]° are the corresponding angles,
m(∠X) = [5(x + 7) + 15]°
90° = [5(x + 7) + 15]°
5(x + 7) = 90 - 15
5(x + 7) = 75
x + 7 = 15
x = 8
Therefore, x = 8 will be the answer.
