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In a triangle, if one angle measures 45 degrees and another measures 55 degrees,

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Question: In a triangle, if one angle measures 45 degrees and another measures 55 degrees, what is the measure of the third angle? (2019)

Options:

  1. 80 degrees
  2. 90 degrees
  3. 100 degrees
  4. 110 degrees

Correct Answer: 90 degrees

Exam Year: 2019

Solution:

The sum of angles in a triangle is 180 degrees. Therefore, the third angle = 180 - (45 + 55) = 80 degrees.

In a triangle, if one angle measures 45 degrees and another measures 55 degrees,

Practice Questions

Q1
In a triangle, if one angle measures 45 degrees and another measures 55 degrees, what is the measure of the third angle? (2019)
  1. 80 degrees
  2. 90 degrees
  3. 100 degrees
  4. 110 degrees

Questions & Step-by-Step Solutions

In a triangle, if one angle measures 45 degrees and another measures 55 degrees, what is the measure of the third angle? (2019)
  • Step 1: Understand that the sum of all angles in a triangle is always 180 degrees.
  • Step 2: Identify the measures of the two given angles: one is 45 degrees and the other is 55 degrees.
  • Step 3: Add the two given angles together: 45 + 55 = 100 degrees.
  • Step 4: Subtract the sum of the two angles from 180 degrees to find the third angle: 180 - 100 = 80 degrees.
  • Step 5: Conclude that the measure of the third angle is 80 degrees.
  • Triangle Angle Sum – The sum of the interior angles in any triangle is always 180 degrees.
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