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dannaasc5475
24.03.2020 •
Mathematics
1. Describe the relationship between the relationship between 1 point: Content
2 point: Reasoning
1 point: Communication
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Ответ:
Part 1)
see the procedure
Part 2)![m\angle PNQ=\frac{1}{2}[arc\ PQ]](/tpl/images/0561/2023/f5818.png)
Part 3) The angles are not congruent. The measure of angle PNQ is half the measure of angle POQ
Step-by-step explanation:
Part 1) Describe the relationship between angle POQ and arc PQ
we know that
Central angle is the angle that has its vertex in the center of the circumference and the sides are radii of it
we have that
Part 2) Describe the relationship between angle PNQ and arc PQ
we know that
The inscribed angle is half that of the arc it comprises.
In this problem, the angle PNQ is an inscribed angle
so
Part 3) Are the angle POQ and PNQ congruent?
The angles are not congruent, because
substitute
therefore
The measure of angle PNQ is half the measure of angle POQ
Ответ: