Question

8. If mz6=x² and mz14 = 196, find the values of x.
X =
X =

Answer 1

x=14

Explanation:

m<6 and m<14 are corresponding angles (see diagram below), which means they're equal.

So:

m<6 = m<14

x²=196

x=14

Answer 2

x = ± 14

Explanation:

∠ 6 and ∠ 14 are corresponding angles and are congruent (equal ) , so

∠ 6 = ∠ 14 ( substitute values )

x² = 196 ( take square root of both sides )

`√(x^2)` = ±
`√(196)` , then

x = ± 14

so x = - 14 or x = 14