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kati45 [8]
2 years ago
15

Parallelogram A B C D is shown. Sides A B and D C are parallel, and sides A D and B C are parallel. Angle C is (3 y + 27) degree

s and angle A is (5 y minus 3) degrees. What is the measure of ∠A? ° What is the measure of ∠B? ° What is the length of segment EF? units
Mathematics
1 answer:
Kitty [74]2 years ago
5 0

Answer:

m<A = 72 degrees

m<B = 108 degrees

Step-by-step explanation:

For the parallelogram ABCD

The sum of the opposite angle will be 180 degrees

Hence <A + <B = 180 and m<A = m<C

5y - 3 = 3y + 27

5y - 3y = 27 + 3

2y = 30

y = 30/2

y = 15

Get m<A

m<A = 5y - 3

m<A = 5(15)-3

m<A = 75 - 3

m<A = 72 degrees

Get m<B

From the equation above;

m<B = 180 - m<A

m<B = 180  - 72

m<B = 108degrees

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Step 1: Simplify both sides of the equation.

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25m+100+−24m+−75=68

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Step 2: Subtract 25 from both sides.

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Answer:

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