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How Do You Find the Missing Right Angle of a Triangle?

Published in Geometry 2 mins read

You can't find a missing right angle in a triangle because a triangle always has one and only one right angle.

A right angle measures 90 degrees. If a triangle has a right angle, it's classified as a right triangle. The other two angles in a right triangle are always acute angles, meaning they measure less than 90 degrees.

Here's why you can't find a missing right angle:

  • Sum of angles: The angles inside any triangle always add up to 180 degrees.
  • Right angle: A right angle already takes up 90 degrees of that total.
  • Remaining angles: This leaves 90 degrees for the other two angles in the triangle.

Therefore, if you know a triangle has a right angle, you already know the missing right angle.

For example: If you have a right triangle with one angle measuring 30 degrees, you can find the other acute angle by subtracting the known angles from 180 degrees:

  • 180 degrees (total) - 90 degrees (right angle) - 30 degrees (known angle) = 60 degrees (missing angle)

You can use this knowledge to determine if a triangle is a right triangle or not.

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