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Chapter 1: Q22 (page 20)

State the measure of each angle.

  • 鈭�HOA

Short Answer

Expert verified

The measure of 鈭�HOAis 180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, andOH炉 with 180.

If OA炉 is paired with x, and OH炉with y, then m鈭�HOA=x鈭�y.

02

Step 2. Observe the given figure and write the values of OA and OH.

It can be observed from the figure that, OA炉 is 0 and OH炉 is 180.

03

Step 3. Calculate m鈭燞OA

m鈭�HOA=0鈭�180=180=180掳

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