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What is the measure of an exterior angle of a triangle if the two remote interio

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Question: What is the measure of an exterior angle of a triangle if the two remote interior angles are 45 degrees and 55 degrees?

Options:

  1. 90 degrees
  2. 100 degrees
  3. 110 degrees
  4. 120 degrees

Correct Answer: 100 degrees

Solution: 

The exterior angle is equal to the sum of the two remote interior angles. Therefore, it is 45 + 55 = 100 degrees.

What is the measure of an exterior angle of a triangle if the two remote interio

Practice Questions

Q1
What is the measure of an exterior angle of a triangle if the two remote interior angles are 45 degrees and 55 degrees?
  1. 90 degrees
  2. 100 degrees
  3. 110 degrees
  4. 120 degrees

Questions & Step-by-Step Solutions

What is the measure of an exterior angle of a triangle if the two remote interior angles are 45 degrees and 55 degrees?
  • Step 1: Identify the two remote interior angles of the triangle. In this case, they are 45 degrees and 55 degrees.
  • Step 2: Understand that the exterior angle of a triangle is equal to the sum of the two remote interior angles.
  • Step 3: Add the two remote interior angles together: 45 degrees + 55 degrees.
  • Step 4: Calculate the sum: 45 + 55 = 100 degrees.
  • Step 5: Conclude that the measure of the exterior angle is 100 degrees.
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