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91Ó°ÊÓ

State the measure of each angle.

  • ∠BOC

Short Answer

Expert verified

The measure of∠BOC is 70°.

Step by step solution

01

Step 1. Apply protractor postulate

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

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 OB¯ is paired with x, and OA¯with y, then m∠BOC=x−y.

02

Step 2. Observe the figure below and write the values of OB and OC.

It can be observed from the figure that, OB¯is OC¯and is 90.

03

Step 3. Calculate m∠BOC

m∠BOC=20−90=−70=70°

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