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What is the measure of QPR

What is the measure of QPR-example-1
User Taner
by
4.7k points

1 Answer

4 votes

Answer:

The answer I got was 86.

Explanation:

This is called the central angle theorem. This means that the central angle, which in this case is QOR (let the origin (middle) be O), is twice the size of the inscribed angle, which is QPR.

That means: 2 x QPR = QOR

→ 2 * (x-33) = x + 20

→ 2x - 66 = x + 20

Collect the like terms

→ 2x - x = 20 + 66

x = 86

User HernandoZ
by
5.1k points
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