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tia_tia [17]
3 years ago
9

Given that AB is a diameter of circle O, find the missing angle and arc measures.

Mathematics
2 answers:
allsm [11]3 years ago
7 0
Https://www.usatestprep.com/modules/gallery/files/75/7534/7534.png
SOVA2 [1]3 years ago
6 0

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.)

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