Question

7. Angle A and Angle B are congruent. The measure

of Angle A is 2x + 3. The measure of Angle B is 3x –
5. Solve for x. What is the measure of each Angle?

Answer 1

X=8

Explanation:

2x+3=3x-5. subtract 2x from both sides

3=x-5. add 5 to both sides

3+5=x

x=8

Answer 2

Answer: x = 8, each angle is 19 degrees

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Work Shown:

angle A = angle B

2x+3 = 3x-5

3+5 = 3x-2x

8 = x

x = 8

angle A = 2x+3

angle A = 2*8+3

angle A = 16+3

angle A = 19

angle B = 3x-5

angle B = 3*8-5

angle B = 24-5

angle B = 19

Both angles are the same measure (19), which confirms our answer.