Respuesta :

Since vertical angles are congruent, the measure of angle A would be equal to the measure of angle B.

3x + 1 = 4x - 21     step 1 - subtract 3x from each side
1 = x - 21               step 2 - add 21 to each side
x = 22                    step 3 - simply solve for x

Now, to find the measure of angle B, just plug in x.

4x - 21                  step 1 - write angle B's equation
4(22) -21              step 2 - plug in x, or 22
88 - 21 = 67         step 3 - simplify the expression

Therefore, the measure of angle B is 67 degrees.


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