Q7. - Geometry

Question

Complete.

If $\mathbf{m}\mathbf{\angle }\mathit{H}\mathit{O}\mathit{K}\mathbf{=}\underset{\mathbf{¯}}{\mathbf{?}}$, and $\mathbf{\angle }\mathbf{HOK}$ is called a(n)  $\mathbf{\angle }\underset{\mathbf{¯}}{\mathbf{?}}$ angle.

Step-by-Step Solution

Answer

The complete statement is: If $m\angle HOK=\mathbf{180}\mathbf{°}$, and $\angle HOK$ is called a straight angle.

Step 1. Observe the given diagram.

The given diagram is:

From the diagram, it can be noticed that:

The angle $HOK$ is of measure $180°$ because the angle $HOK$ lies on the straight line $HOK$.

Step 2. Definition of a straight angle.

A straight angle is an angle of measure $180°$.

Step 3. Complete the given statement.

The angle $HOK$ is of measure $180°$. Therefore, the angle $HOK$ is a straight angle.

Therefore, the complete statement is: If $m\angle HOK=180°$, and $\angle HOK$ is called a straight angle.