Proof: As the measure of an inscribed angle is equal to half the measure of its intercepted arc, the inscribed angle is half the measure of its intercepted arc, that is a straight line. As the arc"s measure is $180^\circ$, the inscribed angle"s measure is $180^\circ\cdot\frac{1}{2} = 90^\circ$.$\blacksquare$

When I checked the solution on the internet there were a whole bunch of other more complicated proofs. Is mine valid? If it is invalid, could someone tell me why?

Thank you,

Paul


geometry circles proof-verification
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edited Oct 29 "13 at 13:26
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amWhy
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asked Oct 29 "13 at 12:55
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Paul FilchPaul Filch
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$\begingroup$
Hint

Draw the radius from the center of the circle to the point that you think it has an angle of $90$ degrees and write down the angles:

$2(x+y)=180$

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answered Oct 29 "13 at 14:44
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