Question

ZA and B are vertical angles. If m A = (5x + 6) and m B = (6.2 – 25)°, then find the value of x.​

Answer 1

The value of x is 25.83.

Explanation:

Vertical angles:

If two angles are vertical, they have the same measure.

In this question:

Angle A has measure 5x + 6

Angle B has measure 6.2x - 25

Since they are vertical:

`A = B`

`5x + 6 = 6.2x - 25`

`1.2x = 31`

`x = (31)/(1.2)`

`x = 25.83`

The value of x is 25.83.