Question

(I NEED HELP ASAP) plz

Answer 1

Given:

The two angles A and B are vertical angles.

The measure of ∠A is x and the measure of ∠B is 5x - 20.

We need to determine the measure of ∠A.

Value of x:

Since, the angles A and B are vertical angles and the vertical angles are always congruent.

Thus, we have;

`\angle A=\angle B`

Substituting the values, we have;

`x=5x-8 0`

`0=4x-80`

Adding both sides of the equation by 80, we have;

`80=4x`

`20=x`

Thus, the value of x is 20.

Measure of ∠A:

The measure of ∠A can be determined by substituting x = 20 in the measure of angle A.

Thus, we get;

`\angle A=20^(\circ)`

Thus, the measure of ∠A is 20°