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A triangular traffic sign has one exterior angle of 144°. Reasoning: a student says the two interior opposite angles cannot both be greater than 100°. Is the student correct?

Class 7Exterior Angle PropertyTriangles
  • AYes, because their sum is only 144°
  • BNo, both can be 100°
  • CYes, because each must be 72°
  • DNo, the sum must be 180°

Step-by-Step Solution

The two interior opposite angles add up to the exterior angle = 144°. Two angles each above 100 would sum above 200, impossible. So the student is correct.
Answer: A) Yes, because their sum is only 144°

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