The sum of angles in a circle is 360 degrees. If the measure of arc QR is 80°, the measure of <PQR is 50 degrees
The sum of angles in a circle is 360 degrees.
From the given diagram, the triangle in the circle is right angled.
<P = 80/2 degrees = 40 degrees
<R = 90 degrees
Since the sum of angle in a triangle is 180 degrees, hence;
<PQR + 80/2 + 90 = 80
<PQR + 130 = 180
<PQR = 180 - 130
<PQR = 50 degrees
Hence If the measure of arc QR is 80°, the measure of <PQR is 50 degrees
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