Question

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Answer 1

Answer:

112 degrees.

Step-by-step explanation:

<A and <B are supplementary. This means that the addition of <A and <B will give you 180 degrees.

A = 3x + 16

B = 2x + 4

A + B = 180

Substitute.

(3x + 16) + (2x + 4) = 180

3x + 16 + 2x + 4 = 180

Reaarange.

3x + 2x + 16 + 4 = 180

5x + 20 = 180

Subtract 20 from both sides.

5x + 20 (-20) = 180 (-20)

5x + 0 = 160

5x = 160

Divide both sides by 5.

5x/5 = 160/5

x = 32

To find the measure of <A, we would substitute x into the equation of <A.

<A = 3x + 16

<A = 3(32) + 16

<A = 96 + 16

<A = 112 degrees.

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Answer 2

Answer:

I have just solved it here.

Please look at it for step- by - step explanation.

Answer: L A = 112°

Hope it helps.

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