Question

Find the measure of the marked angles.

Answer 1

`(61x + 3) = 125 \degree`

`(25x + 5) =55 \degree`

Explanation:

The first angle us (61x+3)

The second angle is (25x+5)

We use corresponding angles to get the top angle as a linear pair to (25x+5).

We use sum of angles on a straight line to obtain:

`(61x + 3) + (25x + 5) =180 \degree`

Group similar terms

`61x + 25x = 180 - 3 - 5`

`86x = 172`

`x = 2`

We substitute to get:

`(61x + 3) = 61 * 2 + 3 = 125 \degree`

`(25x + 5) =25 * 2 + 5 = 55 \degree`