What is m ∠BCA?

The triangle has points A, B, and C. We do not know what A or C but B is 130 degrees. How to solve this?

  1. 12.5 degrees
  2. 130 degrees
  3. 25 degrees
  4. 50 degrees
in Algebra 1 Answers by Level 1 User (200 points)

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1 Answer

If B is 130 degrees the other angles must add up to 50 degrees (180-130). The only answers that fit are A and C because the other angles are too large. If angle C is 12.5 degrees then angle A must be 37.5 degrees; or vice versa;  if 25 then A is also 25 and the triangle is isosceles. If there is only one answer then it must be 25 because we wouldn't otherwise know whether it was A or C. Because the angles are the same then they must both be 25 degrees, and there's no need to distinguish between A and C.

by Top Rated User (1.1m points)

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