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Chapter 1: Q19 (page 20)

State the measure of each angle.

  • 鈭�FOG

Short Answer

Expert verified

The measure鈭�FOG of is 40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 OF炉is paired with x, and role="math" localid="1638171477504" OG炉 with y, then m鈭�FOG=x鈭�y.

02

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

It can be observed from the figure that, OF炉is 120 and OG炉is 160.

03

Step 3. Calculate m鈭燜OG

m鈭�FOG=120鈭�160=鈭�40=40掳

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