Question

5. Construct with ruler and compasses, angles of following measures:
(b) 30° (c) 90° (d) 120° (e) 45° (f) 135°
(a) 60°​

Answer 1

Answer:

Step-by-step explanation:Step I: On a plane, sheet draw a line segment AB

Step II: Take B as a center, draw an arc with proper radius.

Step III: Take D as a center and with the radius of the same length mark an arc on the former arc at a point E.

Step IV: Join points B to E and produce up to point C. Thus the required angle is ∠ABC of measure 60°.

(b) Angle of 30°

Steps of construction:

Step I: On a plane, sheet draw a line segment AB

Step II: Take B as a center, draw an arc with proper radius.

Step III: Take D as the center and with the radius of the same length mark an arc on the former arc at a point E.

Step IV: Join points B to E and produce up to point C. Thus the required angle is ∠ABC of measure 60°.

Step V: Now, draw line segment BF as the bisector of ∠ABC.

(c) Angle of 90°

Steps of construction:

Step I: Draw a line segment AB on a plane sheet.

Step II: With the center, B draw an arc that meets AB at C.