Question

Describe all situation where vertical angles are also supplementary

Answer 1

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

$x+y=180^{\circ}$

$x+x=180^{\circ}$

$2x=180^{\circ}$

$x=\frac{180}{2}=90^{\circ}$

$x=y=90^{\circ}$

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.

Answer 2

Vertical angles are always the same size. if they are supplementary the measures must add to 180. 180/2=90. vertical angles are supplementary only when they are right angles, our 90°