Advertisements
Advertisements
Question
Construct the 30° angle, using ruler and a pair of compass only.
Solution
Steps of construction:
To construct an angle of 30°.
- Draw a line OB of any suitable length.
- At O, draw an arc of any size to cut OB at D.
- With D as a centre, draw the same size arc, to cut the previous arc at C.
- Join OC and extend up to a suitable point A. Then, ∠AOB = 60°.
- Bisect this angle of get two angles each of 30°. Thus, ∠EOB = 30°.
APPEARS IN
RELATED QUESTIONS
The adjoining figure shows two straight lines AB and CD intersecting at point P. If ∠BPC = 4x – 5° and ∠APD = 3x + 15°; find:
(i) the value of x.
(ii) ∠APD
(iii) ∠BPD
(iv) ∠BPC
In your note-book copy the following angle using ruler and a pair compass only.
In your note-book copy the following angle using ruler and a pair compass only.
Draw line AB = 6 cm. Construct angle ABC = 60°. Then draw the bisector of angle ABC.
Draw a line segment PQ = 8cm. Construct the perpendicular bisector of the line segment PQ. Let the perpendicular bisector drawn meet PQ at point R. Measure the lengths of PR and QR. Is PR = QR?
Draw a line segment OP = 8cm. Use set-square to construct ∠POQ = 90°; such that OQ = 6 cm. Join P and Q; then measure the length of PQ.
In the following figure, AB is parallel to CD; find the values of angles x, y and z:
In the following figure, BA is parallel to CD. Find the angles a, b and c:
In the following figure, BA is parallel to CD. Find the angles a, b and c:
Two straight lines are cut by a transversal. Are the corresponding angles always