Question

Given m is parallel to n, find the value of x

Answer 1

x = 44

Explanation:

Given that line m is parallel to line n, the angles that we see are same-side exterior angles, meaning that these two angles add up to 180°.

Set up the equation:
`112 + (2x - 20) = 180` and solve for x.

. . . . . . . . . . . . 112 - 112 + 2x - 20 = 180 - 112

. . . . . . . . . . . . 2x - 20 + 20 = 68 +20

. . . . . . . . . . . . 2x /2 = 88 /2

. . . . . . . . . . . . ∴ x = 44