###### Advertisements

###### Advertisements

Using a protractor, draw an angle of measure 72°. With this angle as given, draw angles of measure 36° and 54°.

###### Advertisements

#### Solution

Steps of construction:

1. Draw an angle ABC of 72 with the help of protractor.

2. With center B and any radius, draw an arc which intersect AB at D and BC at E.

3. With center D and E and radius more than `1/2`DE draw two arcs which intersect each other at F.

4. Join FB which intersect the arc in (2) at G.

5. With centers D and G and radius more than `1/2` DE draw two arcs which intersect each other at F.

6. With centers D and G and radius more than n `1/2` DG draw two arcs which intersect each other at H

7. Join HB

∴ `∠`HBC = 54°

`∠` FBC = 36 °

#### APPEARS IN

#### RELATED QUESTIONS

Construct an angle of 90° at the initial point of a given ray and justify the construction.

Construct an angle of 45° at the initial point of a given ray and justify the construction.

Construct the 135° angles and verify by measuring it by a protractor.

Draw a line segment AB of length 5.8 cm. Draw the perpendicular bisector of this line

segment.

Draw a line segment AB and bisect it. Bisect one of the equal parts to obtain a line segment of length `1/2` (AB).

Draw an obtuse angle, Bisect it. Measure each of the angles so obtained.

Using your protractor, draw an angle of measure 108°. With this angle as given, draw an

angle of 54°.

Using protractor, draw a right angle. Bisect it to get an angle of measure 45°.

Draw a linear pair of angles. Bisect each of the two angles. Verify that the two bisecting rays are perpendicular to each other.

Construct the angle of the measurement:

1 . 75°