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∠A = x + 2 and ∠B = 2x + 4. What is the measurement of ∠A

∠A = x + 2 and ∠B = 2x + 4. What is the measurement of ∠A-example-1

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Answer:

(B) 60 degrees

Explanation:

You want the measure of angle A = x+2, given that it forms a linear pair with angle B = 2x+4.

Linear Pair

The sum of angles in a linear pair is 180°

A +B = 180

(x +2) +(2x +4) = 180 . . . . use the given expressions

3x +6 = 180 . . . . . . . . . simplify

x +2 = 60 . . . . . . . . . divide by 3. Angle A = x+2 = 60

The measure of angle A is 60 degrees.

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