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Chapter 1: Q18 (page 20)

State the measure of each angle.

  • 鈭�GOH

Short Answer

Expert verified

The measure of 鈭�GOHis 20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 OG炉is paired with x, and OH炉with y, then m鈭�GOH=x鈭�y.

02

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

It can be observed from the figure that, OG炉is 160 and OH炉 is 1800.

03

Step 3. Calculate m鈭燝OH.

m鈭�GOH=160鈭�180=鈭�20=20掳

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