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d1i1m1o1n [39]
3 years ago
12

What is the value of b? 75 100 90 80

Mathematics
1 answer:
Vladimir [108]3 years ago
4 0

Hello from MrBillDoesMath!

Answer:

80


Discussion:

Per the attachment,  arc AB spans 110 degrees and arc BC spans 90 degrees (as that is the measure of the central angle subtending it). Hence arc ABC spans 110 + 90 = 200 degrees. As a circle has 360 degrees the smaller arc CA spans  360 - 200  = 160 degrees.  But angle"b" is a tangent chord angle so its measure equals 1/2 the arc spanned, that is 1/2 ( 160 ) = 80 degrees


Thank you,

MrB

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