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06-08-2020
Mathematics

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In a circle whose center is O, arc AB contaisn 100 degrees. Find the number of degrees in angle ABO?

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07-08-2020

Answer:

40

Step-by-step explanation:

Angles ABO, BAO, and AOB are the angles of isosceles triangle AOB. The angles at A and B are equal, so we have ...

AOB +2ABO = 180° . . . . . sum of angles in the triangle

100° +2ABO = 180° . . . . . . use the given value

50° +ABO = 90° . . . . . . . . divide by 2; next, subtract 50°

∠ABO = 40°

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