# Construct the Angle of the Measurement: 1. 15° - Mathematics

Construct the angle of the measurement:

1. 15°

#### Solution

Steps of construction:
Step 1: Draw a line segment AB
Step 2: with center A and any radius, draw an arc which intersects previous arc at C
Step 3: with center C and same radius, draw an arc which intersect previous arc at D
Step 4: with center D and C radius more than half of DC draw arcs intersecting each other at E
Step 5: Join EA which intersects arc in (2) at F.
Step 6: With centers F and C and radius more than 1/2FC draw arcs intersecting each other
Step 7: Join GA
∴ ∠GAB =15°

Concept: Basic Constructions
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#### APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 16 Constructions
Exercise 16.2 | Q 11.5 | Page 9

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