Question

Find the value of x.
1) 18
2) 22.5
3) 30
4) 54

Answer 1

The above shows vertical angles , angles that have a common vertex and whose sides are formed by the same lines. This means that x +90° must be equal to 4x since they are vertically opposite to each other.

`x + {90}^(o) = 4x \\ {90}^(o) = 3x \\ x = {30}^(o)`

Hope this helps!