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What is the relationship between the exterior angle and the two opposite interio

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Question: What is the relationship between the exterior angle and the two opposite interior angles of a triangle? (2019)

Options:

  1. They are equal
  2. The exterior angle is greater
  3. The exterior angle is less
  4. They are complementary

Correct Answer: The exterior angle is greater

Exam Year: 2019

Solution:

The exterior angle of a triangle is equal to the sum of the two opposite interior angles.

What is the relationship between the exterior angle and the two opposite interio

Practice Questions

Q1
What is the relationship between the exterior angle and the two opposite interior angles of a triangle? (2019)
  1. They are equal
  2. The exterior angle is greater
  3. The exterior angle is less
  4. They are complementary

Questions & Step-by-Step Solutions

What is the relationship between the exterior angle and the two opposite interior angles of a triangle? (2019)
  • Step 1: Understand what an exterior angle is. An exterior angle is formed when one side of a triangle is extended outside the triangle.
  • Step 2: Identify the two opposite interior angles. These are the angles inside the triangle that are not adjacent to the exterior angle.
  • Step 3: Remember the rule: The exterior angle is equal to the sum of the two opposite interior angles.
  • Step 4: If you have a triangle with angles A, B, and C, and you extend one side to form an exterior angle, that exterior angle will equal angle B + angle C.
  • Step 5: This relationship holds true for all triangles, regardless of their shape.
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