Construction of 60 ° and 120 ° Angles With the Help of Ruler and Compass

Construct the angle measuring $120°$ using a ruler and compasses. 

Construct the angle measuring $120°$ using a ruler and compasses. 

The construction of $△ABC$ in which $AB=5 cm, \angle A=45°,$ is possible when $AC+BC=$

The construction of a $△ABC$ in which $BC=6 cm$ and $\angle B=50°,$ is not possible when $\left(AB-AC\right)$ is equal to:

Draw angle of the measure given below:

$45°$

Draw angle of the measure given below:

$30°$

Draw angle of the measure given below:

$0°$

Draw angle of the measure given below:

$10°$

Draw angle of the measure given below:

$180°$

Draw angle of the measure given below:

$168°$

Draw angle of the measure given below:

$72°$

Draw angle of the measure given below:

$35°$

Draw angle of the measure given below:

$130°$

Draw angle of the measure given below:

$90°$

Draw angle of the measure given below:

$40°$

To construct an angle of $60°$, we need to draw first

Step 1: Let us draw any line segment $AB$ with scale pencil.

Step 2: Now, with centre $A$ and with any radius, lets draw an arc with compass, so that it cuts the line segment $AB$ at $C$.

Step 3: Next with centre $C$ and with the same radius, lets draw an arc which cuts the previous arc at $D$.

Step 4: Now, the points $D$ and $A$ are joined and extended. The angle is formed $\angle DAB=$ _____$°$.

Step $1$: Draw a ray $OA$.

Step $2$: With $O$ as centre and any convenient radius draw an arc $MN$ to cut $OA$ at $M$.

Step $3$: With $M$ as centre and the same radius draw an arc to cut $MN$ at $P$

Step $4$: With $P$ as centre and the same radius, draw an arc to cut $MN$ at $Q$.

Step $5$: Draw $OQ$ and produce it to $D$. An angle is constructed.

If the measure of angle formed is $x°$, then write the value of $x$.

After constructing a $60°$ angle, if one of the arms of the angle is produced in the opposite direction, the angle formed is _____$°$

It is possible to construct the angle $15°$ using compass and ruler.