What are you going
To draw angles
To divide an angle
into two congruent
Look at the flagpole on the Figure 7.10 above. The angle
formed by the rope with the ground is 30°. Now draw a 30°
To draw a 30° angle, you can use a protractor and ruler by
following the steps below.
1. Draw a ray.
2. Place the centre of the
protractor on a line, and
then mark the position of
3. Draw a line from the
centre of the protractor and the marking
point. It will form a 30° angle.
Mathematics for Junior High School Year 7 /
Draw a 65° angle.
Draw the ray QR so that ∠PQR =
To draw an angle equal to a given angle without knowing
the measure of the angle can be done using a compass and a ruler.
The steps to draw an angle are given in the following activities.
1. Draw ∠A.
2. Draw a ray with a vertex E.
3. Using a compass, draw an arc
with its centre at A so that
the arc intersects the sides of
the angle at B and C.
4. Without changing the radius of arch on step 3, draw
an arc at E and intersect the ray at F.
5. Place the tip of the compass at C and the pencil part
of the compass at B.
6. Without changing the radius of arc in step 5, place
the tip of the compass at F and get to point D.
/ Student’s Book – Lines and Angles
Draw the ray ED using a ruler.
7. Therefore, the measure of ∠E is ∠A. D •
Now repeat the activity to make you understand more.
Draw ∠H which is equal to ∠C as shown
in the figure on the left using a compass
and a ruler. (Draw each of the steps.)
Dividing an Angle into Two Equal Parts
How can you divide ∠ P in the figur