Question

Two lines intersect at a point. The vertical angles formed are supplementary. What is the measure of each of the angles?

So my question is if both angle 1 and 2 must equal 90 degrees each?

Im wondering because I know that angle 1 and angle 2 has to equal 180, but I'm second guessing whether or not they both have to be 90 degrees! Like one can be 80 degrees while the other is 100, for example.

Answer 1

Vertical angles are always equal.

If they are also supplementary, they must both be 90°

Answer 2

Oh okay. Thank you for clarifying!

Answer 3

The measures are 90 degrees. The reason is that vertical angles are both the same number of degrees and supplementary angles measure up to 180. So it can not be 80 and 100 because they are both not the same number of degrees. That is why 90 degrees is the only logical option.