The value of m∠A is 75⁰ (interior angle on the same side of transversal are supplementary).
The value of m∠B is 105⁰ (interior angle on the same side of transversal are supplementary).
How to calculate the value of angle A and angle B?
The value of angle A and angle B is calculated by applying the following principle.
from the parallel lines and the transversal lines, we will have;
m∠A + 105 = 180 (interior angle on the same side of transversal are supplementary).
m∠A = 180 - 105
m∠A = 75⁰
m∠B + 75 = 180 (interior angle on the same side of transversal are supplementary).
m∠B = 180 - 75
m∠B = 105⁰