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In a triangle, if one angle measures 50 degrees and another measures 60 degrees,

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Question: In a triangle, if one angle measures 50 degrees and another measures 60 degrees, what is the measure of the third angle? (2019)

Options:

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

Correct Answer: 70 degrees

Exam Year: 2019

Solution: 

The sum of angles in a triangle is 180 degrees. Therefore, the third angle = 180 - (50 + 60) = 70 degrees.

In a triangle, if one angle measures 50 degrees and another measures 60 degrees,

Practice Questions

Q1
In a triangle, if one angle measures 50 degrees and another measures 60 degrees, what is the measure of the third angle? (2019)
  1. 70 degrees
  2. 80 degrees
  3. 90 degrees
  4. 100 degrees

Questions & Step-by-Step Solutions

In a triangle, if one angle measures 50 degrees and another measures 60 degrees, what is the measure of the third angle? (2019)
  • Step 1: Understand that the sum of all angles in a triangle is always 180 degrees.
  • Step 2: Identify the angles you have. In this case, one angle is 50 degrees and another angle is 60 degrees.
  • Step 3: Add the two known angles together: 50 + 60 = 110 degrees.
  • Step 4: Subtract the sum of the known angles from 180 degrees to find the third angle: 180 - 110 = 70 degrees.
  • Step 5: Conclude that the measure of the third angle is 70 degrees.
  • Triangle Angle Sum Theorem – The sum of the interior angles of a triangle is always 180 degrees.
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