The angle measurements in the diagram are represented by the following expressions. B А Solve for x and then find the measure of

Question

asked Apr 17, 2022 235k views

1 Answer

Masoud Bimar · Answer 1 · 2022-04-21T15:02:12+0000

Answer:

$x = 20^(\circ)$

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

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
$\angle A = 8x - 10$

$\angle A = 8 * 20 - 10$

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