Question

In the diagram, $\overrightarrow{QZ}\perp \overleftrightarrow{PQ}$, $\overrightarrow{OZ}\perp \overleftrightarrow{XY}$, and $\overleftrightarrow{PQ}\perp \overleftrightarrow{XY}$. Name eight right angles.

Short answer

The required angles are$\angle POX$, $\angle QOX$, $\angle QOY$, $\angle POY$, $\angle ZOP$, $\angle ZOQ$,$\angle ZOX$ and$\angle ZOY$.

Step-by-step solution

Step 1. Definition of the right angle.

Basically angles having the measurement of 90° are referred as the right angles these angles are from the perpendicular relation between two lines.

Step 2. Determine the required angles.

Extract all the points which are 8 in count from the given lines that are having perpendicular relation between them.

$\angle POX$, $\angle QOX$, $\angle QOY$, $\angle POY$, $\angle ZOP$, $\angle ZOQ$,$\angle ZOX$ and $\angle ZOY$.

Step 3. Make the conclusion.

As the angles $\angle POX$, $\angle QOX$, $\angle QOY$, $\angle POY$, $\angle ZOP$, $\angle ZOQ$,$\angle ZOX$ and$\angle ZOY$ are related with the given lines so these are the required angles.