Question

The angle measurements in the diagram are represented by the following expressions.

B
А
Solve for x and then find the measure of

Answer 1

`x = 20^(\circ)`

`\angle A = 150^(\circ)`

Explanation:

Given

`\angle A = 8x - 10`

`\angle B = 3x + 90`

See attachment

From the attachment A and B are vertically opposite.

This implies that:

`\angle A = \angle B`

Substitute values for A and B

`8x - 10 = 3x + 90`

Collect Like Terms

`8x - 3x = 10 + 90`

`5x = 100`

Solve for x

`x = (100)/(5)`

`x = 20^(\circ)`

Substitute 20 for x in
`\angle A = 8x - 10`

`\angle A = 8 * 20 - 10`

`\angle A = 150^(\circ)`