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91Ó°ÊÓ

State the measure of each angle.

  • ∠GOB

Short Answer

Expert verified

The measure of ∠GOBis role="math" localid="1638173282461" 140°.

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, andOH¯ with 180.

If OG¯ is paired with x, and OB¯with y, then m∠GOB=x−y.

02

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

It can be observed from the figure that, OG¯is 160 and OB¯is 20.

03

Step 3. Calculate m∠GOB

m∠GOB=160−20=140=140°

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