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


What is the measure of ∠B?

HELP! ASAP! What is the measure of ∠A? What is the measure of ∠B?-example-1

2 Answers

2 votes

Answer:

What is the measure of ∠A?

72°

What is the measure of ∠B?

108°

Explanation:

I literally copied and pasted from edge

User Arelis
by
6.0k points
2 votes
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°

User Jeff Paquette
by
6.4k points