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?
2 answers:
<h3>Supplementary Angles:</h3>
Angles which adds up to 180°.
<h3>Given:</h3>
A = 2x + 8
B = 2x + 8
<h3>To Find:</h3>
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>
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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