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The angle measures 42°, 50°, 130°, and 138° are written on slips of paper. You choose two slips of paper at random.

What is the probability that the angle measures are supplementary? Enter your answer as a fraction.

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Mhanifaidn

Answer:

  • 1/3

Step-by-step explanation:

Combination of pairs of paper slips:

  • 4C2 = 4!/(2*2) = 6

A pair of 50 with 130 and 42 with 138 are the two pairs of supplementary angles.

The probability is:

  • P(supplementary pair) = 2/6 = 1/3

Step-by-step explanation:

  • slips=2
  • Angles=4

Apply combination

  • 4C_2
  • 4!/((4-2)!2!)
  • 4!/2!2!
  • 24/4
  • 6

P(supplementary)

  • 2/6
  • 1/3
  • 33.33%
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