Respuesta :

Answer: supplementary and vertical angles

Step-by-step explanation:

Angle RDY and angle NDA are-

  1. vertically opposite angles
  2. supplementary angles

Angles

What are angles?

An angle is a shape made up of two rays that share a terminus and is designated by the name of the angle (the vertex).

What is vertically opposite angles?

Either of the two angles that are situated on either side of two intersecting lines.

What is supplementary angles?

Angles that add up to 180 degrees are referred to as supplementary angles.

Relation between angle RDY and angle NDA:

As, angle RDY and angle NDA lies on the opposite side if the intersection of the lines, both are said to be equal by property of vertically opposite angles.

Since, angle RDY and angle NDA each have the value of 90 degrees (shown in the figure). Thus, sum of both angles is 180 degrees.

Therefore, angle RDY and angle NDA are also supplementary angles.

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