Question

Given m

n, find the value of x and y.
(37-18)
(8x+12)
m
(2X+18)
n

Answer 1

Explanation:

The two inside angles will sum to 180°.

The top to angles are equal.

Think about this as what if both of the parallel lines were intersected by a perpendicuar line. Every angle would be a right triangle 90°. The inside angles will sum to 180° and the opposite angles are again equal.

(2x + 18) + (8x + 12) = 180

10x + 30 = 180

10x = 150

x = 15

-------------------------

(3y - 18) = (8x + 12) x = 15

(3y - 18) = (8(15) + 12)

(3y - 18) = (120 + 12)

(3y - 18) = 132

3y = 132 + 18

3y = 150

y = 50