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What is the measure of an exterior angle of a triangle if the two opposite inter

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Question: What is the measure of an exterior angle of a triangle if the two opposite interior angles are 50 degrees and 60 degrees?

Options:

  1. 70 degrees
  2. 80 degrees
  3. 90 degrees
  4. 100 degrees

Correct Answer: 80 degrees

Solution: 

The exterior angle of a triangle is equal to the sum of the two opposite interior angles. Therefore, the exterior angle = 50 + 60 = 110 degrees.

What is the measure of an exterior angle of a triangle if the two opposite inter

Practice Questions

Q1
What is the measure of an exterior angle of a triangle if the two opposite interior angles are 50 degrees and 60 degrees?
  1. 70 degrees
  2. 80 degrees
  3. 90 degrees
  4. 100 degrees

Questions & Step-by-Step Solutions

What is the measure of an exterior angle of a triangle if the two opposite interior angles are 50 degrees and 60 degrees?
  • Step 1: Identify the two opposite interior angles of the triangle. In this case, they are 50 degrees and 60 degrees.
  • Step 2: Understand that the exterior angle of a triangle is equal to the sum of the two opposite interior angles.
  • Step 3: Add the two angles together: 50 degrees + 60 degrees.
  • Step 4: Calculate the sum: 50 + 60 = 110 degrees.
  • Step 5: Conclude that the measure of the exterior angle is 110 degrees.
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