Question

Exercise $3$ suggests that you could construct other angles with certain measures. Name some.

Short answer

Angles $45{}^{\circ },60{}^{\circ },90°$ other than $30°$.

Step-by-step solution

Step 1. Given information.

Measurement between two lines are given.

The angles $60°$can be drawn from the following steps:-

Step 2. Concept used.

Draw a line $PQ$

Take a radius from the line $PQ$ and draw an arc and named that point $M$.

From $M$ point draw another arc with same radius and named that point as $N$.

Join the point $P$and $N$,

then $\angle NPQ=60°$

Step 3. Use compass.

By using compass and straightedge,

draw $45{}^{\circ },60{}^{\circ },90°$ other than $30$ degrees.

Therefore, angles $45{}^{\circ },60{}^{\circ },90°$ other than $30°$.