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Lorico [155]
2 years ago
6

In the figure below, BD and AC are diameters of circle P.

Mathematics
1 answer:
elena-14-01-66 [18.8K]2 years ago
5 0

Answer:

arc\ DC=30^o

Step-by-step explanation:

<u><em>The picture of the question in the attached figure</em></u>

The point P is the center of the circle (the drawing is not a scale )

step 1

Find the measure of angle ∠CPD

we know that

m\angle CPD+150^o=180^o ---> by supplementary angles (form a linear pair)

m\angle CPD=180^o-150^o=30^o

step 2

Find the measure of arc DC

we know that

<u><em>Central angle</em></u> is the angle that has its vertex in the center of the circumference and the sides are radii of it

so

arc\ DC=m\angle CPD ----> by central angle

therefore

arc\ DC=30^o

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