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In a triangle, if two angles are 45 degrees each, what is the measure of the thi

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Question: In a triangle, if two angles are 45 degrees each, what is the measure of the third angle?

Options:

  1. 45 degrees
  2. 60 degrees
  3. 90 degrees
  4. 75 degrees

Correct Answer: 90 degrees

Solution: 

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

In a triangle, if two angles are 45 degrees each, what is the measure of the thi

Practice Questions

Q1
In a triangle, if two angles are 45 degrees each, what is the measure of the third angle?
  1. 45 degrees
  2. 60 degrees
  3. 90 degrees
  4. 75 degrees

Questions & Step-by-Step Solutions

In a triangle, if two angles are 45 degrees each, what is the measure of the third angle?
  • Step 1: Remember that the total sum of all angles in a triangle is always 180 degrees.
  • Step 2: Identify the two angles given in the triangle, which 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 – The sum of the interior angles of a triangle is always 180 degrees.
  • Angle Calculation – Calculating the measure of an unknown angle using the known angles.
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