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Katarina [22]
4 years ago
10

A. 156° b. 170° c. 165° d. 174°

Mathematics
1 answer:
Setler79 [48]4 years ago
4 0

Answer:

  a.  156°

Step-by-step explanation:

The marked angle at P is the average of the arcs intercepted:

  ((13x)° + (5x+10)°)/2 = (10x -7)°

  (18x +10)/2 = 10x -7 . . . . simplify a bit

  9x +5 = 10x -7 . . . . . . . . simplify more

  9x +12 = 10x . . . . . . . . . . add 7

  12 = x . . . . . . . . . . . . . . . . subtract 9x

Now, use this value to find (13x)°.

  13x° = 13(12)° = 156° . . . measure of arc DC

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