realsiege
  • realsiege
Geometry: finding an angle of an inscribed triangle
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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realsiege
  • realsiege
This is the pic of the circle: http://imgur.com/pk9EN7u "AB is the diameter of the circle, and the centre is labelled X. C is the circumference of the circle, and CAB = 2*CBA. What's the size of CBA?" I don't even know how to find CAB, let alone CBA.
Directrix
  • Directrix
Look at < C. It is an angle inscribed in a semi-circle and is a right angle. By < C, I mean
WolframWizard
  • WolframWizard
|dw:1449488253810:dw| Since AB is a diameter, /_C has to be 90. An inscribed angle is half the intercepted arc and we know the arc is 180ยบ because it is half the circle due to AB being the diameter. Now we know m/_CBA+m/_CAB=90. We also know m/_CAB=2m/_CBA so we can plug in 2m/_CBA from the second equation into the first to get m/_CBA+2m/_CBA=3m/_CBA=90 and so m/_CBA=30. That means m/_CAB=60

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