Question

Solve for in the down below,

Answer 1

The pair of angles given here share a relationship called Vertically Opposite angles...

• *Note that:- Vertically opposite angles are equal to each other

So,

`50 + 2x = 150`

`2x = 150 - 50`

`2x = 100`

`x = 50`

• Let's verify if our answer is correct!

Substitute x as 50 in the equation we formed

`50 + 2x = 150 \\ 50 + 2 * 50 = 150 \\ 50 + 100 = 150 \\ 150 = 150`

Hence, Proved!✓

Answer 2

The sum of 50 and 2x must equal 150 because of vertically opposite angles.

Thus, the equation formed:

• 50 + 2x = 150

Simplify the equation to find x.

Subtract 50 both sides:

• 50 - 50 + 2x = 150 - 50
• => 2x = 100

Divide 2 both sides:

• 2x = 100
• => x = 100/2 = 50