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In a triangle, if one angle measures 40 degrees and another measures 70 degrees,

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Question: In a triangle, if one angle measures 40 degrees and another measures 70 degrees, what is the measure of the third angle?

Options:

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

Correct Answer: 80 degrees

Solution: 

The sum of angles in a triangle is 180 degrees. Therefore, the third angle = 180 - (40 + 70) = 70 degrees.

In a triangle, if one angle measures 40 degrees and another measures 70 degrees,

Practice Questions

Q1
In a triangle, if one angle measures 40 degrees and another measures 70 degrees, what is the measure of the third angle?
  1. 70 degrees
  2. 80 degrees
  3. 60 degrees
  4. 50 degrees

Questions & Step-by-Step Solutions

In a triangle, if one angle measures 40 degrees and another 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, which are 40 degrees and 70 degrees.
  • Step 3: Add the two given angles together: 40 + 70 = 110 degrees.
  • Step 4: Subtract the sum of the two 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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