Question

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

$\mathbf{150}\mathbf{°}$angle

Short answer

The angle without measuring is

With protractor angle will be near about $\mathbf{150}\mathbf{°}$.

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 $\overline{\mathit{O}\mathit{H}}$and all these rays are drawn from O on one side ofrole="math" localid="1648992710364" $\overline{\mathit{A}\mathit{H}}$.

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

The line role="math" localid="1648992759940" $\overline{\mathit{O}\mathit{A}}$is paired with 0, and $\overline{\mathit{O}\mathit{H}}$with 180.

If $\overline{\mathit{O}\mathit{B}}$is paired with $\mathit{x}$, and with $\mathit{y}$, then role="math" localid="1648992876830" $\mathit{m}\mathit{\angle }\mathit{B}\mathit{O}\mathit{C}\mathit{=}\mathit{|}\mathit{x}\mathit{-}\mathit{y}\mathit{|}$.

– Sketch angle without measuring

Thus, the figure is shown below, have $\angle AOB={150}^{\circ }$.

– 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. The angle will be near about ${150}^{\circ }$.