Question

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

Answer 1

Answer:

$x = 20^{\circ}$

$\angle A = 150^{\circ}$

Step-by-step 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

$x = \frac{100}{5}$

$x = 20^{\circ}$

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

$\angle A = 8 * 20 - 10$

$\angle A = 150^{\circ}$