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In a triangle, if one angle is 45 degrees and the other is 45 degrees, what is t

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Question: In a triangle, if one angle is 45 degrees and the other is 45 degrees, what is the measure of the third angle? (2020)

Options:

  1. 90 degrees
  2. 45 degrees
  3. 60 degrees
  4. 30 degrees

Correct Answer: 90 degrees

Exam Year: 2020

Solution: 

The sum of the angles in a triangle is always 180 degrees. Therefore, if two angles are 45 degrees each, the third angle = 180 - (45 + 45) = 90 degrees.

In a triangle, if one angle is 45 degrees and the other is 45 degrees, what is t

Practice Questions

Q1
In a triangle, if one angle is 45 degrees and the other is 45 degrees, what is the measure of the third angle? (2020)
  1. 90 degrees
  2. 45 degrees
  3. 60 degrees
  4. 30 degrees

Questions & Step-by-Step Solutions

In a triangle, if one angle is 45 degrees and the other is 45 degrees, what is the measure of the third angle? (2020)
  • Step 1: Remember that the total sum of all angles in a triangle is always 180 degrees.
  • Step 2: Identify the angles you have. In this case, you have two angles that are both 45 degrees.
  • Step 3: Add the two angles together: 45 + 45 = 90 degrees.
  • Step 4: Subtract the sum of the two angles from 180 degrees to find the third angle: 180 - 90 = 90 degrees.
  • Step 5: Conclude that the measure of the third angle is 90 degrees.
  • Triangle Angle Sum Theorem – The sum of the interior angles of a triangle is always 180 degrees.
  • Isosceles Triangle Properties – In an isosceles triangle, two angles are equal, which can simplify calculations.
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