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

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Question: In a triangle, if one angle measures 50 degrees and another angle measures 60 degrees, what is the measure of the angle formed by a line parallel to one side of the triangle and the extension of the other side?

Options:

  1. 70 degrees
  2. 50 degrees
  3. 60 degrees
  4. 130 degrees

Correct Answer: 70 degrees

Solution: 

The third angle of the triangle is 70 degrees. The angle formed by the parallel line and the extension of the other side is equal to this angle due to the Corresponding Angles Postulate.

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

Practice Questions

Q1
In a triangle, if one angle measures 50 degrees and another angle measures 60 degrees, what is the measure of the angle formed by a line parallel to one side of the triangle and the extension of the other side?
  1. 70 degrees
  2. 50 degrees
  3. 60 degrees
  4. 130 degrees

Questions & Step-by-Step Solutions

In a triangle, if one angle measures 50 degrees and another angle measures 60 degrees, what is the measure of the angle formed by a line parallel to one side of the triangle and the extension of the other side?
  • Triangle Angle Sum Theorem – The sum of the interior angles of a triangle is always 180 degrees.
  • Corresponding Angles Postulate – When a transversal intersects two parallel lines, the angles in corresponding positions are equal.
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