The angle measurements in the diagram are represented by the following expressions.
ZA = 10x + 24°
B = 6x + 72
Solve for 3 and then find the measure of ZA:

Given:

To find:

The value of x and measure of ∠A.

Solution:

Let C be angle the vertically opposite to ∠A.

The reference image for answer is attached below.

By vertical angle theorem:

m∠A = m∠C

m∠C = 10x + 24°

By the corresponding angle theorem:

m∠C = m∠B

Subtract 24° on both sides.

Subtract 6x from both sides.

Divide by 4 on both sides.

The value of x is 12°.

The measure of ∠A is 144°.

1 and 0

step-by-step explanation:

yes

step-by-step explanation:

they have to be opposite and reciprocal of eachother.