The value of x is 8.
Solution:
Given line p is parallel to line q.
If two parallel lines are cut by a transversal, then the corresponding angles are congruent.
(11x - 5)° = (7x + 27)°
11x° - 5° = 7x° + 27°
Add 5° on both sides.
11x° = 7x° + 32°
Subtract 7x° from both sides.
4x° = 32°
Divide by 4 on both sides.
x° = 8°
x = 8
The value of x is 8.