Question

If l ∥ m, find the value of x. A)90 B)21 C)9 D)32

Answer 1

B

Explanation:

3x - 16 has a supplement. That supplement is = to 6x + 7 because corresponding angles on the same side of the transversal are equal.

Supplement

180 - (3x - 16) = supplement Remove the brackets

180 - 3x + 16 = supplement Combine like terms

196 - 3x = supplement.

Equation

6x + 7 = 196 - 3x Add 3x to both sides

Solution

6x + 3x + 7 = 196 Combine

9x + 7 = 196 Subtract 7 from both sides

9x = 196 - 7

9x = 189 Divide by 9

x = 189/9

x = 21