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Chapter 1: Q18 (page 20)

State the measure of each angle.

  • ∠GOH

Short Answer

Expert verified

The measure of ∠GOHis 20°.

Step by step solution

01

Step 1. Apply protractor postulate

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

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

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

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

If OG¯is paired with x, and OH¯with y, then m∠GOH=x−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¯is 160 and OH¯ is 1800.

03

Step 3. Calculate m∠GOH.

m∠GOH=160−180=−20=20°

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