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If the sum of the angles in a triangle is always 180 degrees, what can be inferr

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Question: If the sum of the angles in a triangle is always 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 defined as a right triangle.

If the sum of the angles in a triangle is always 180 degrees, what can be inferr

Practice Questions

Q1
If the sum of the angles in a triangle is always 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 always 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 sum of all angles in a triangle is always 180 degrees.
  • Step 3: If one angle in the triangle measures 90 degrees, it is a right angle.
  • Step 4: Since one angle is 90 degrees, the remaining two angles must add up to 90 degrees (because 180 - 90 = 90).
  • Step 5: A triangle with one right angle (90 degrees) is specifically called a right triangle.
  • Triangle Angle Sum Theorem – The sum of the interior angles of a triangle is always 180 degrees.
  • Types of Triangles – Triangles can be classified based on their angles, such as acute, obtuse, and right triangles.
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