Answer:
if vertical angles are right angles then the angles are supplementary.
Step-by-step explanation:
Vertical angles: When two lines are intersect to each other then the opposite angles made at the point of intersection are called vertical angles.
Vertical angles are always equal in measurement.
Supplementary angles: The angles whose sum is 180 degrees are called supplementary angle.
Let x and y are vertical angles
Then, x=y
If angles x and y are supplementary
[tex]x+y=180^{\circ}[/tex]
[tex]x+x=180^{\circ}[/tex]
[tex]2x=180^{\circ}[/tex]
[tex]x=\frac{180}{2}=90^{\circ}[/tex]
[tex]x=y=90^{\circ}[/tex]
When x and y=90 degrees then the angle x and y are supplementary.
Therefore, we can say that if vertical angles are right angles then the angles are supplementary.
