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Solve the measure of an angle is 161°. what is the measure of a supplementary angle?

2 Answers

2 votes

Final answer:

To find the measure of a supplementary angle, subtract the measure of the given angle from 180°. The measure of the supplementary angle to an angle of 161° is 19°.

Step-by-step explanation:

To find the measure of a supplementary angle, we need to subtract the measure of the given angle (161°) from 180°.

Supplementary angles are two angles that add up to 180°. So, by subtracting the measure of the given angle from 180°, we can find the measure of its supplementary angle.

Therefore, the measure of the supplementary angle to an angle of 161° is 19°.

User EdwinGuo
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Supplementary angles sum up to 180°, suppose the supplement of 161° is x. Then
161+x=180
solving for x we subtract 161 from both sides
161-161+x=180-161
x=19
thus the supplement is 19°


User Aaron K
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7.9k points