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Mathematics 16 Online
OpenStudy (anonymous):

Easy question, i think o.o Gina drew a circle with right triangle PRQ inscribed in it as shown below. If the measure of arc QR is 100°, what is the measure of angle PQR?

OpenStudy (anonymous):

OpenStudy (anonymous):

|dw:1337269643375:dw| The trick is to draw a line from the centre to point R. This leaves you with an isosceles triangle (two sides are of length radius, thus the two corresponding angles must be the same). angle PQR is one of these angles. Can you get it from here?

OpenStudy (anonymous):

ah so the answer is 50 degrees. amirite?

OpenStudy (anonymous):

correct, 80 degrees in the large angle, 100 degrees split even ly between the last two angles.

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