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3 years ago

HELP! ASAP! What is the measure of ∠A? What is the measure of ∠B?

Mathematics

2 answers:

Rudiy273 years ago

6 0

Answer:

the measure of angle A is 72 degrees.

the measure of angle B is 108 degrees.

Step-by-step explanation:

these answers are right. just did it on edg. :)

olganol [36]3 years ago

3 0

The opposite angles of a parallelogram are equal.
Therefore
m∠A = m∠C, so that
5y - 3 = 3y + 27
Subtract 3y from each side.
5y - 3y - 3 = 3y - 3y + 27
2y - 3 = 27
Add 3 to each side.
2y - 3 + 3 = 27 + 3
2y = 30
y = 30/2 = 15

Therefore
m∠A = 5*15 - 3 = 72°
m∠C = 72°

Let x = m∠B
Then x = , m∠B = m∠C
Because the sum of the angles in the parallelogram is 360°, therefore
x + x + 72 + 72 = 360
2x = 360-144 = 216
x = 216/2 = 108

Answer:
m∠A = 72°
m∠B = 108°

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