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In a triangle, if one angle measures 40 degrees and another angle measures 60 de

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Question: In a triangle, if one angle measures 40 degrees and another angle measures 60 degrees, what is the measure of the angle formed by a transversal intersecting the line parallel to the base of the triangle?

Options:

  1. 40 degrees
  2. 60 degrees
  3. 80 degrees
  4. 100 degrees

Correct Answer: 80 degrees

Solution: 

The sum of angles in a triangle is 180 degrees. The third angle is 180 - (40 + 60) = 80 degrees. The angle formed by the transversal is equal to this angle.

In a triangle, if one angle measures 40 degrees and another angle measures 60 de

Practice Questions

Q1
In a triangle, if one angle measures 40 degrees and another angle measures 60 degrees, what is the measure of the angle formed by a transversal intersecting the line parallel to the base of the triangle?
  1. 40 degrees
  2. 60 degrees
  3. 80 degrees
  4. 100 degrees

Questions & Step-by-Step Solutions

In a triangle, if one angle measures 40 degrees and another angle measures 60 degrees, what is the measure of the angle formed by a transversal intersecting the line parallel to the base of the triangle?
  • Step 1: Understand that the sum of all angles in a triangle is always 180 degrees.
  • Step 2: Identify the angles given in the triangle: one angle is 40 degrees and another angle is 60 degrees.
  • Step 3: Add the two known angles together: 40 + 60 = 100 degrees.
  • Step 4: Subtract the sum of the known angles from 180 degrees to find the third angle: 180 - 100 = 80 degrees.
  • Step 5: Recognize that the angle formed by the transversal intersecting the line parallel to the base of the triangle is equal to the third angle, which is 80 degrees.
  • Triangle Angle Sum – The sum of the interior angles of a triangle is always 180 degrees.
  • Transversal and Parallel Lines – When a transversal intersects parallel lines, corresponding angles are equal.
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