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In a triangle, if two angles are equal and the third angle measures 40 degrees,

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Question: In a triangle, if two angles are equal and the third angle measures 40 degrees, what is the measure of each of the equal angles?

Options:

  1. 70 degrees
  2. 40 degrees
  3. 20 degrees
  4. 60 degrees

Correct Answer: 70 degrees

Solution: 

Let each equal angle be x. The sum of angles in a triangle is 180 degrees, so 2x + 40 = 180. Thus, 2x = 140, giving x = 70 degrees.

In a triangle, if two angles are equal and the third angle measures 40 degrees,

Practice Questions

Q1
In a triangle, if two angles are equal and the third angle measures 40 degrees, what is the measure of each of the equal angles?
  1. 70 degrees
  2. 40 degrees
  3. 20 degrees
  4. 60 degrees

Questions & Step-by-Step Solutions

In a triangle, if two angles are equal and the third angle measures 40 degrees, what is the measure of each of the equal angles?
  • Triangle Angle Sum Theorem – The sum of the interior angles of a triangle is always 180 degrees.
  • Isosceles Triangle Properties – In an isosceles triangle, the angles opposite the equal sides are equal.
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