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If the sum of the angles in a triangle is 180 degrees, what can be inferred abou

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Question: If the sum of the angles in a triangle is 180 degrees, what can be inferred about a triangle with one angle measuring 90 degrees?

Options:

  1. It is an obtuse triangle.
  2. It is a right triangle.
  3. It is an acute triangle.
  4. It cannot exist.

Correct Answer: It is a right triangle.

Solution: 

A triangle with one angle measuring 90 degrees is classified as a right triangle, as it adheres to the property of having one angle equal to 90 degrees.

If the sum of the angles in a triangle is 180 degrees, what can be inferred abou

Practice Questions

Q1
If the sum of the angles in a triangle is 180 degrees, what can be inferred about a triangle with one angle measuring 90 degrees?
  1. It is an obtuse triangle.
  2. It is a right triangle.
  3. It is an acute triangle.
  4. It cannot exist.

Questions & Step-by-Step Solutions

If the sum of the angles in a triangle is 180 degrees, what can be inferred about a triangle with one angle measuring 90 degrees?
  • Step 1: Understand that a triangle has three angles.
  • Step 2: Know that the total sum of the angles in any triangle is always 180 degrees.
  • Step 3: Identify that one angle in the triangle measures 90 degrees.
  • Step 4: Calculate the sum of the other two angles: 180 degrees - 90 degrees = 90 degrees.
  • Step 5: Recognize that having one angle equal to 90 degrees means the triangle is a right triangle.
  • Triangle Angle Sum Property – The sum of the interior angles of a triangle is always 180 degrees.
  • Classification of Triangles – Triangles can be classified based on their angles, such as acute, obtuse, and right triangles.
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