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4 years ago

Last question of the day with 25 points.

Mathematics

1 answer:

pshichka [43]4 years ago

3 0

Answer:

244 degrees

Step-by-step explanation:

Since one angle APE is 90 degrees, that means line segments AD and BE are perpendicular bisectors.

Since both segments go through the center, that means all the angles are central angles.

Since angle APE is 90 degrees, that also means that angle EPD is 90 degrees.

33k -9 = 90

33k = 99

k = 3

Since we know k we can substitute it to find angle CPD.

20 k + 4 = 20*3 + 4= 60+4= 64 degrees.

Central angles equal angles of arcs, so we can and angles APE, EPD, and DPC to find the measure of major arc CAD.

64+ 90 +90 = 244 degrees

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