What is the measure of angle PQR if the measure of arc QR is 100 degrees?

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To find the measure of angle PQR when the measure of arc QR is 100 degrees, we can apply the concept of inscribed angles in a circle.

In circle geometry, the measure of an inscribed angle is always half the measure of the intercepted arc. Therefore, the formula to calculate the measure of angle PQR can be represented as:

Angle PQR = 1/2 × Arc QR

Given that the measure of arc QR is 100 degrees, we can substitute this value into our formula:

Angle PQR = 1/2 × 100

Solving this, we get:

Angle PQR = 50 degrees

Thus, the measure of angle PQR is 50 degrees.

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