Emmaleee
The circle shown below has AB and BC as its tangents.
If the measure of arc AC is 160°, what is the measure of angle ABC?
80°
40°
60°
20°



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LillieMax
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Can you post the image please?

Emmaleee
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Emmaleee
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can anyone help me with this question ?

cwrw238
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the angle subtended at center by arc AC = 160
the kite formed as 1 angle = 160 and 2 = 90 degrees
so angle ABC = 369  (90+ 90 + 160)

cwrw238
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can you work that out?

cwrw238
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are you there?

Emmaleee
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sorry i was verifying my email

Emmaleee
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529?

cwrw238
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thats alright

cwrw238
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work out whats in the parentheses first:
360 (90+90+160)
= 360  340
= 20

Emmaleee
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so the answer is 20?

cwrw238
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dw:1342986914525:dw

cwrw238
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yes

Emmaleee
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THANK YOU SO MUCH! :)

cwrw238
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yw

cwrw238
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hope you follow it ok  a kite is an example of a quadrilateral ( 4 sides) where the sum of the 4 angles = 360 degrees