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In triangle ABC, if angle A = 90 degrees, angle B = 45 degrees, what is the meas

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Question: In triangle ABC, if angle A = 90 degrees, angle B = 45 degrees, what is the measure of angle C?

Options:

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

Correct Answer: 45 degrees

Solution: 

The sum of angles in a triangle is 180 degrees. Therefore, angle C = 180 - 90 - 45 = 45 degrees.

In triangle ABC, if angle A = 90 degrees, angle B = 45 degrees, what is the meas

Practice Questions

Q1
In triangle ABC, if angle A = 90 degrees, angle B = 45 degrees, what is the measure of angle C?
  1. 45 degrees
  2. 60 degrees
  3. 30 degrees
  4. 90 degrees

Questions & Step-by-Step Solutions

In triangle ABC, if angle A = 90 degrees, angle B = 45 degrees, what is the measure of angle C?
  • 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: angle A is 90 degrees and angle B is 45 degrees.
  • Step 3: Add the measures of angle A and angle B together: 90 + 45 = 135 degrees.
  • Step 4: Subtract the sum of angle A and angle B from 180 degrees to find angle C: 180 - 135 = 45 degrees.
  • Step 5: Conclude that angle C measures 45 degrees.
  • Triangle Angle Sum – The sum of the interior angles of a triangle is always 180 degrees.
  • Right Triangle Properties – In a right triangle, one angle is 90 degrees, and the other two angles must sum to 90 degrees.
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