What are the measures of the third angle in a triangle if two angles measure 35 and 45 degrees?

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In a triangle, the sum of all three interior angles always equals 180 degrees. If you have two angles measuring 35 degrees and 45 degrees, you can find the measure of the third angle by using the following steps:

  1. First, add the measures of the two given angles together:
  2. 35 + 45 = 80 degrees
  3. Next, subtract this sum from 180 degrees to find the third angle:
  4. 180 – 80 = 100 degrees

Therefore, the measure of the third angle is 100 degrees.

This calculation is based on the fundamental property of triangles in Euclidean geometry, ensuring that any set of angles in a triangle must total 180 degrees. Understanding this can help you in many areas of geometry and even in real-world applications where triangular shapes are present.

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