Question

Draw an angle of ${70}^0$. Make a copy of it using only a straight edge and compasses.

Answer 1

Hint: Use the protractor to draw an angle ${70}^0$ of then use the methods of construction to draw the similar angle to draw its copy. Measure the radius by the compass.

Complete step by step answer:

Use the figure as the reference for drawing

Steps of construction:
i) First draw an angle of ${70}^0$ with the help of scale and protractor. That is shown in the figure as $\mathrm{\angle }POQ={70}^0$
ii) Then draw a ray AB.
iii) Place the compass at O and draw the arc to cut rays of $\mathrm{\angle }POQ$ at L and M.
iv) Use the compass with the same setting to draw an arc with A as center, cutting AB at X.
v) Now set your compass setting to the length LM with the same radius.
vi) With the same setting now place the compass pointer at X and draw the arc to cut the earlier drawn arc at point Y.
vii) Join the points AY. Thus $\mathrm{\angle }YAX={70}^0$.

Hence, the angle of ${70}^0$ is drawn with the help of compass.

Note: In order to solve these types of problems students must remember the complete steps in order to make no mistakes. Students must draw a reference line in order to start the problem and for uniqueness. The pencils must be sharp, compasses must be tight. Students must not disturb the setting of the compass between the construction.