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91Ó°ÊÓ

Construct an angle with the indicated measure.

45°.

Short Answer

Expert verified

∠AOH=45°.

Step by step solution

01

Step 1. Given information.   

An angle 45°.

02

Step 2. Concept used.

Draw by using compass.

03

Step 3. Construction.

Step 1: Take any ray OΑ.

Step 2: With Oas centre and any radius, draw an arc cutting OΑatB.

Step 3: With Bas centre and the same radius, draw an arc cutting the first arc atC.

Step 4: With Cas centre and the same radius, draw an arc cutting the first arc again atD

Step 5: With Cand Das centre and radius of more than half of CD, draw two arcs cutting each other atΕ.

Step 6: JoinOΕ.

Step 7: With Band Ε as centers, draw two arcs cutting each other at F and join OF such that OF intersects the arc at G.

∠AOH=45°.

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