Supposed two angles are supplementary and one of them measures 31 degree what is The measure of the other angle

Supplementary angles always, without exception, add up to 180°. If two angles add up to 180° and one of them is 31° , then simply take 180 and subtract 31 from that. That would be 149°.

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facundo3141592 facundo3141592 · Answer 2 · 2022-04-22T13:02:00+02:00

We will see that if the angles are supplementary, the measure of the other angle is 149°.

How to get the measure of the other angle?

Two angles A and B are supplementary if their measures add up to 180°, so we must have:

A + B = 180°

In this case, we know that one of the angles measures 31°, let's say:

A = 31°

Replacing that we get:

31° + B = 180°

Solving for B, we get:

B = 180° - 31° = 149°

We conclude that the measure of the other angle is 149°.

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