5 Mark Question

Question 15 Marks

Construct an angle bisector to draw an angle of 45°.

Answer

For getting measurement of 45° (for the bisected angle), one has to make an angle of 90° (i.e. 45° × 2).

Step 1:
Draw ∠PQR of 90°.

Step 2:
Cut arcs on the rays QP and QR.
Name these points as M and N respectively.

Step 3:
Place the compass point on point M and draw an arc inside the angle.
Without changing the distance of the compass, place the compass point on point N and cut the

Step 4:
Draw ray QO.
Ray QO is the angle bisector of ∠PQR.
i.e. m∠PQO = m∠RQO = 45°

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Question 25 Marks

Construct an angle bisector to obtain an angle of 30°.

Answer

In order to get a bisected angle of a given measure, the student has to draw the angle having twice the measurement of required bisected angle.
For getting measurement of 30° (for the bisected angle), one has to make an angle of 60° (i.e. 30° × 2).

Step 1:
Draw $\angle ABC$ of $60^{\circ}$.

Step 2:
Cut arcs on the rays BA and BC. Name these points as D and E respectively.

Step 3:
Place the compass point on point D and draw an arc inside the angle.
Without changing the distance of the compass, place the compass point on point E and cut the previous arc. Name the point of intersection as O

Step 4:
Draw ray BO.
Ray $BO$ is the angle bisector of $\angle ABC$.
i.e. $m \angle A B O=m \angle C B O=30^{\circ}$

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Question 35 Marks

Look at the figures below and write the type of each of the angles:

Answer

a. Acute angle
b. Right angle
c. Reflex angle
d. Straight angle
e. Zero angle
f. Complete angle

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Question 45 Marks

Measure of the angle		Type of the angle
i.	180°	a.	Zero angle
ii.	240°	b.	Straight angle
iii.	360°	c.	Reflex angle
iv.	0°	d.	Complete angle

Answer

(i – Straight Angle),
(ii – Reflex Angle),
(iii – Complete Angle),
(iv – Zero Angle).

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Maths 5 Mark Question

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