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Chapter 1: Q20 (page 20)

State the measure of each angle.

  • 鈭�COF

Short Answer

Expert verified

The measure of鈭�COF is 30掳.

Step by step solution

01

Step 1. Apply protractor postulate.

On AH炉in a given plane, choose any point O between A and B.

Consider rays, OA炉and OH炉which are drawn from point O on AH炉.

These rays results in pairing with the angles from 0 to 180 in such a way that:

The line OA炉is paired with 0, and OH炉with 180.

If OC炉 is paired with x, and OF炉with y, then m鈭�COF=x鈭�y.

02

Step 2. Observe the figure below and write the values of OG and OF.

It can be observed from the figure that, OC炉is 90 and OF炉is 120.

03

Step 3. Calculate m鈭燙OF

m鈭�COF=90鈭�120=鈭�30=30掳

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