Q. 22 WE - Geometry

Question

Without measuring, sketch each angle. Then use a protractor to check your accuracy.

$\mathbf{10}\mathbf{°}$angle

Step-by-Step Solution

Answer

Sketch of angle without measuring is

With protractor, angle will be near about$\mathbf{10}\mathbf{°}$.

Step 1 - Apply the protractor postulate

$\overline{\mathit{A}\mathit{H}}$ in a given plane is considered.

Any point O between A and H is chosen.

Consider $\overline{\mathit{O}\mathit{A}}\text{and}\overline{\mathit{O}\mathit{H}}$ and all these rays are drawn from O on one side of $\overline{\mathit{A}\mathit{H}}$. 

These rays’ results in pairing with the real numbers from 0 to 180 in such a way that:

The line $\overline{\mathit{O}\mathit{A}}$ is paired with 0, and $\overline{\mathit{O}\mathit{H}}$ with 180.

If $\overline{\mathit{O}\mathit{B}}$ is paired with $\mathit{x}$, and $\overline{\mathit{O}\mathit{C}}$ with $\mathit{y}$, then $\mathit{m}\mathit{\angle }\mathit{B}\mathit{O}\mathit{C}\mathit{=}\left|x-y\right|$.

Step 2 – Sketch angle 90 ° without measuring

Thus, the figure is shown below, have $\angle AOB={10}^{\circ }$.

Step 3 – Superimpose the protractor to check the accuracy

By taking a protractor and put it over the $\angle AOB$. Superimpose the protractor’s $\overline{OA}$ line with the drawn angles $\overline{OA}$ line. Measure the angle by using the protractor postulate. The angle will be near about ${10}^{\circ }$.