The values of angle A and B are 56⁰ and 132⁰ respectively.
How to calculate angle A and B.
From the figure
Given that ABCD is a parallelogram , then
Opposite angles are equal. If angle A is equal to angle C, and angle B is equal to angle D, where ABCD is a parallelogram.
7) 4y - 8 = 2y +20(opposite angles equal)
4y - 2y = 20 + 8
2y = 28
y = 28/2
= 14
<A = 4y -8
Substitute y = 14 into the expression 2y - 8 to find angle A
4(14) - 8
56-8 = 48⁰
8) Consecutive (adjacent) angles are supplementary, meaning the sum of two consecutive angles is always 180 degrees.
angle A + angle B = 180⁰
48 + B = 180
B = 180 - 48
= 132⁰
The values of angle A and B are 56⁰ and 132⁰ respectively.