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In a triangle, if one angle measures 60 degrees and the other measures 70 degree

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Question: In a triangle, if one angle measures 60 degrees and the other measures 70 degrees, what is the measure of the third angle?

Options:

  1. 50 degrees
  2. 60 degrees
  3. 70 degrees
  4. 80 degrees

Correct Answer: 80 degrees

Solution: 

The third angle can be found by subtracting the sum of the other two angles from 180 degrees: 180 - (60 + 70) = 50 degrees.

In a triangle, if one angle measures 60 degrees and the other measures 70 degree

Practice Questions

Q1
In a triangle, if one angle measures 60 degrees and the other measures 70 degrees, what is the measure of the third angle?
  1. 50 degrees
  2. 60 degrees
  3. 70 degrees
  4. 80 degrees

Questions & Step-by-Step Solutions

In a triangle, if one angle measures 60 degrees and the other measures 70 degrees, what is the measure of the third angle?
  • Step 1: Understand that the sum of all angles in a triangle is always 180 degrees.
  • Step 2: Identify the measures of the two given angles: one is 60 degrees and the other is 70 degrees.
  • Step 3: Add the two given angles together: 60 + 70 = 130 degrees.
  • Step 4: Subtract the sum of the two angles from 180 degrees to find the third angle: 180 - 130 = 50 degrees.
  • Step 5: Conclude that the measure of the third angle is 50 degrees.
  • Triangle Angle Sum Theorem – The sum of the interior angles of a triangle is always 180 degrees.
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