two lines intersect at a point the vertical angles formed are supplementary what is the measure of each angles explain

1 answer

When two lines intersect at a point, they form four angles. Vertical angles are formed by two pairs of opposite angles, which are across from each other when the two lines intersect.

The property of vertical angles is that they are always congruent, which means they have the same measure.

If the vertical angles formed are supplementary, it means that the sum of their measures is 180 degrees.

Therefore, each vertical angle would have a measure of 180 degrees divided by 2, which is 90 degrees.