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2.
In AABC, ZB is congruent to ZC. The measure of ZB is 20 more than twice the
measure of ZA. Find the measure of each angle in AABC. [Only an algebraic
solution will be accepted.]

2 In AABC ZB is congruent to ZC The measure of ZB is 20 more than twice the measure of ZA Find the measure of each angle in AABC Only an algebraic solution will class=

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elcharly64

Answer:

Measure of angle B: 76°

Measure of angle C: 76°

Measure of angle A: 28°

Step-by-step explanation:

Equations

Let's call

x = measure of angle B

Since angle B is congruent with angle C:

x = measure of angle C

The sum of the angles in a triangle is 180°:

180 - x - x = 180 - 2x = measure of angle A

It's given the measure of angle B is 20 more than twice the measure of angle A, thus:

x = 20 + 2(180 - 2x)

Operating the parentheses:

x = 20 + 360 - 4x

Adding 4x:

5x = 380

Dividing by 5:

x = 380/5

x = 76°

Measure of angle B: 76°

Measure of angle C: 76°

Measure of angle A: 180 - 2*76°= 28°

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