y=15
x=80
Step-by-step explanation:
We know that 6y = 90 Vertical angles are equal
6y =90
Divide each side by 6
6y/6 = 90/6
y =15
The figure is a quadrilateral so the sum of the angles is 360 degrees
We will call the top left angle z
<z and the right angle are alternate interior angles and alternate interior angles are equal so <z = 90
<z + < 6y + <x + 100 = 360
90 + 90 + <x +100 =360
Combine like terms
280 +<x = 360
Subtract 280 from each side
280-280 +<x = 360-280
x =80