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Given that AB is a diameter of circle O, find the missing angle and arc measures.
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116°154°26°32°64°
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Answer:

M arc CB=64°,M<AOC= 116° ,M arc AD=26°,M arc DFB=154°,M<CDB=32°.

Step-by-step explanation:

Measure of central angle is equal to the measure of intercepted arc .Given <COB= 64°.Hence M arc CB=64°.

<AOC= 180-64= 116°.( Angles made on a straight line is supplementary)

Measure of intercepted arc is twice the angle made on the circumference.

It is given <ABD= 13 °.Hence intercepted arc AD =2x13=26°.

Marc DFB=180-26=154°.Measure of arc of a semicircle is 180°.

M< CDB=64÷2=32°( angle made on circumference is half the angle made at the centre.)