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2 years ago

If angle A is (2x+8) degrees and Angle B is (2x+8) and A and B are supplementary angles....what is measurement of angle B?

Mathematics

2 answers:

atroni [7]2 years ago

7 0

<h3>Supplementary Angles:</h3>

Angles which adds up to 180°.

<h3>Given:</h3>

A = 2x + 8

B = 2x + 8

The measurement of B.

<h3>Solution:</h3>

A + B = 180°

or, 2x + 8 + 2x + 8 = 180°

or, 4x + 16 = 180°

or, 4x = 180 - 16 = 164°

or, x = 164/4 = 41°

<h2>Answer:</h2>

B = 2x + 8 = 2(41) + 8 = 82 + 8 = 90°

<u>B</u><u> </u><u>=</u><u> </u><u>9</u><u>0</u><u>°</u>

Digiron [165]2 years ago

7 0

Answer:

The measurement of angle B is 90°

Step-by-step explanation:

Solve for x.

Since angle A and angle B are supplementary, they both add up to 180°.

So,

(2x + 8) + (2x + 8) = 180°

2x + 8 + 2x + 8 = 180°

4x + 16 = 180°

4x = 180° - 16

4x = 164°

x = 164 ÷ 4

x = 41

Now substitute the x value to angle B.

∠B = 2x + 8

∠B = 2(41) + 8

∠B = 82 + 8

∠B = 90°

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