Question

Given that m||n, find the value of x.

Answer 1

x = 24°

Explanation:

Using 180-degree formula, we can find x.

=> 84 + 4x = 180°

=> 4x = 180 - 84

=> 4x = 96

=> 24°

Therefore, x = 24°

Hoped this helped.

Answer 2

`{\boxed {\sf{x = 24 \degree}}}`

Explanation:

In the given figure we have two consecutive interior angles.

We know that each pair of consecutive interior angles is supplementary.

So,

• 4x+84 = 180
• 4x = 180 - 84
• 4x = 96
• x = 96/4
• x = 24

Therefore, x = 24°