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points P,Q and R are on circle with center O auch that arc PQ=78 degrees,arc QR=123 degrees and arc PQR =201 angle QPR

2 Answers

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Final answer:

The question is about geometry, specifically the properties and measures of arcs and angles within a circle defined by points P, Q, R, and center O.

Step-by-step explanation:

The question you've asked falls under the subject of Mathematics, specifically within the field of geometry that pertains to the properties of circles. According to the information provided, points P, Q, and R are on a circle with center O such that arc PQ equals 78 degrees, arc QR equals 123 degrees, and angle QPR (presumably the central angle inscribed by the arc PQR) measures 201 degrees. To clarify any confusion, the measures of these arcs and angles help us understand the positioning of points P, Q, and R on the circle and the relationships between them.

Referencing the information provided, the statement regarding the electric field is irrelevant to the question about geometric properties of circles. The additional references concerning arcs AB and movements of points through angles do provide a context for understanding arcs and angles in general, which could be useful background knowledge. However, these do not directly apply to solving the question at hand, which is about the specific measures of arcs and angles on a single circle.

User Bastien Pasdeloup
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8.5k points
2 votes

Final answer:

The measure of angle QPR is 201 degrees.

Step-by-step explanation:

To find the measure of angle QPR, we can use the fact that the sum of the measures of two arcs that intersect at a point on a circle is equal to the measure of the central angle that intercepts the arcs. So, arc PQ + arc QR = angle QPR. Plugging in the given values, we have 78 + 123 = 201 degrees. Therefore, the measure of angle QPR is 201 degrees.

User Eric Brandel
by
7.9k points

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