Question

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

$\mathbf{45}\mathbf{°}$angle

Short answer

The angle without measuring is

With protractor angel will be near about$\mathbf{45}\mathbf{°}$.

Step-by-step solution

- 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$\overline{\mathit{O}\mathit{A}}$and$\overline{\mathit{O}\mathit{H}}$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 $\mathit{m}\mathit{\angle }\mathit{B}\mathit{O}\mathit{C}\mathit{=}\mathit{|}\mathit{x}\mathit{-}\mathit{y}\mathit{|}$.

– Sketch angle 90o without measuring

Thus, the figure is shown below, have $\angle AOB={45}^{\circ }$.

– 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.