# Using a Protractor, Draw an Angle of Measure 72°. with this Angle as Given, Draw Angles of Measure 36° and 54°. - Mathematics

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

#### 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 1/2DE 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 °

Concept: Basic Constructions
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#### APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 16 Constructions
Exercise 16.2 | Q 9 | Page 9

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