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In a triangle, if two angles are equal and one measures 50 degrees, what is the

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Question: In a triangle, if two angles are equal and one measures 50 degrees, what is the measure of the third angle?

Options:

  1. 50 degrees
  2. 80 degrees
  3. 100 degrees
  4. 60 degrees

Correct Answer: 80 degrees

Solution: 

Let the equal angles be x. Then, 2x + 50 = 180. Solving gives x = 65 degrees, so the third angle is 180 - 2(50) = 80 degrees.

In a triangle, if two angles are equal and one measures 50 degrees, what is the

Practice Questions

Q1
In a triangle, if two angles are equal and one measures 50 degrees, what is the measure of the third angle?
  1. 50 degrees
  2. 80 degrees
  3. 100 degrees
  4. 60 degrees

Questions & Step-by-Step Solutions

In a triangle, if two angles are equal and one measures 50 degrees, what is the measure of the third angle?
  • Triangle Angle Sum Theorem – The sum of the angles in 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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