Question

Consider the interior angles of triangles ABC and BXY: angle A, angle B, angle C, angle X, and
angle Y. What is the sum of these 5 angles in terms of angle B? Explain your reasoning.

Answer 1

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Answer:

  360° -B

Step-by-step explanation:

The sum of the 6 angles in the two triangles will be ...

  (A + B + C) +(B + X + Y) = (180°) + (180°)

Subtracting B from both sides gives ...

  A + B + C + X + Y = 360° - B