two lines intersect at a point the vertical angles formed are supplementary what is the measure of each angles explain
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.
When two lines intersect at a point, they form four angles around that point. These angles are called vertical angles. Vertical angles are always congruent, which means they have the same measure.
In this case, it is given that the vertical angles formed are supplementary. When two angles are supplementary, it means that their measures add up to 180 degrees.
So, to find the measure of each of the vertical angles, we can divide 180 degrees by 2 (since they are congruent).
Thus, each vertical angle in this case would have a measure of 180 degrees divided by 2, which is 90 degrees. Therefore, each vertical angle would measure 90 degrees.
When two lines intersect at a point, they create four angles. The vertical angles are the pair of opposite angles that are formed when two lines intersect. These angles are directly across from each other.
According to the vertical angles theorem, vertical angles are always congruent and their measures are equal. In addition, when two angles are supplementary, it means that their measures add up to 180 degrees.
So, in this case, if the vertical angles formed by the intersecting lines are supplementary, it means that the measures of these angles add up to 180 degrees. Since the vertical angles are congruent, we can divide 180 by 2 to find the measure of each angle.
Therefore, the measure of each vertical angle will be 180 divided by 2, which gives us 90 degrees each.