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xxMikexx [17]
4 years ago
15

Two angles are supplementary. Angle A is 4x degrees. Angle B is (2x + 30) degrees. Determine the measure of each angle. Be sure

to determine the measure of angle A and angle B and clearly label them in your answer
Mathematics
2 answers:
Marina86 [1]4 years ago
8 0

Answer:

Angle A = 100°

Angle B = 80°

Step-by-step explanation:

Supplementary angles means angles add up to 180°.

There are only two angles given here.

Angle A and Angle B add up to 180°.

A + B = 180°

4x + (2x + 30) = 180°

4x + 2x + 30 = 180°

6x + 30 = 180°

6x = 180 - 30

6x = 150°

x = 150 ÷ 6

x = 25°

Now substitute the x value to the angles.

Angle A:

4x

4(25) = 100°

Angle B:

2x + 30

2(25) + 30

50 + 30 = 80°

Marina CMI [18]4 years ago
5 0
<h3>Supplementary Angles:</h3>

Angles which adds up to 180°.

<h3>Given:</h3>

A = 4x

B = 2x + 30

<h3>To Find:</h3>

The measurements of A and B.

<h3>Solution:</h3>

A + B = 180°

or, 4x + 2x + 30 = 180°

or, 6x + 30 = 180°

or, 6x = 180 - 30

or, x = 150/6 = 25°

<h2>Answer:</h2>

A = 4x = 4(25) = <u>100°</u>

B = 2x + 30 = 2(25) + 30 = <u>8</u><u>0</u><u>°</u>

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