Question

What are the measurements of x and y

Answer 1

Firstly we know that a straight line is 180°

So lets find each angle then
90 + 12 + 15 + x + x + x = 180
117 + 3x = 180
-117 -117
3x = 63

`(3x)/(3) = (63)/(3)`
x = 21°

Same thing for the angle y
90 + 15 + 12 + y + y = 180
117 + 2y = 180
-117 -117
2y = 63

`(2y)/(2) = (63)/(2)`
y = 31.5°

The whole is 360°
check:
31.5 + 31.5 + 15 + 15 + 12 + 12 + 90 + 90 + 21 + 21 + 21 = 360
360 = 360