Answer:
x = 36 and y = 72
Explanation:
The external angle of a triangle is equal to the sum of the 2 opposite interior angles.
y is an external angle to the triangle on the right, thus
y = 2x
The sum of the 3 angles in a triangle = 180
Consider the triangle on the left. then
x + 2y = 180 ← substitute y = 2x
x + 4x = 180
5x = 180 ( divide both sides by 5 )
x = 36 and y = 2x = 2 × 36 = 72