Answer:
x = 21.5
Step-by-step explanation:
In the given trapezoid, the angles are consecutive interior angles.
i.e, consider the parallel sides of a trapezoid as parallel lines and the common side as the transversal. So, it is parallel lines cut by a transversal make a pair of consecutive interior angles which are supplementary.
i.e,
(5x + 13)° + (3x - 5)° =180°
5x + 13 + 3x - 5 = 180
8x + 8 = 180
8x = 180 - 8 =172
x= 172/8 = 21.5
So, 5x + 13 = 5(21.5) + 13 = 120.5°
3x - 5 = 3(21.5) -5 = 59.5°
