Question

Given m || n, find the value of x.
m
(7x+18)
n
(9x+2)

Answer 1

x = 8

Explanation:

Corresponding Angles Postulate

When a straight line intersects two parallel straight lines, the resulting corresponding angles are congruent.

As line m is parallel to line n:

⇒ (9x + 2)° = (7x + 18)°

⇒ 9x + 2 = 7x + 18

⇒ 9x + 2 - 7x = 7x + 18 - 7x

⇒ 2x + 2 = 18

⇒ 2x + 2 - 2 = 18 - 2

⇒ 2x = 16

⇒ 2x ÷ 2 = 16 ÷ 2

⇒ x = 8