Proof: together the measure up of one inscribed angle is same to half the measure up of its intercepted arc, the inscribed angle is half the measure up of that is intercepted arc, that is a right line. As the arc"s measure is $180^\circ$, the enrolled angle"s measure is $180^\circ\cdot\frac12 = 90^\circ$.$\blacksquare$

When I confirm the systems on the web there were a whole bunch of various other more complicated proofs. Is mine valid? If that is invalid, might someone tell me why?

Thank you,

Paul


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edited Oct 29 "13 in ~ 13:26
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$\begingroup$
Hint

Draw the radius from the center of the circle come the suggest that friend think it has actually an angle of $90$ degrees and write down the angles:

$2(x+y)=180$

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