If you are given two equal angles, you can immediately identify them as the base angles. Since the two base angles share this value equally, dividing 72 by 2 results in 36 degrees.
Tips for Finding Base Angles in an Isosceles Triangle
If the vertex angle is known, you subtract it from 180 to find the sum of the base angles. 33 degrees, and the vertex angle is 73.
Using the Vertex Angle The most direct method requires knowledge of the vertex angle. The sum of the interior angles is always 180 degrees, so subtracting the vertex angle from 180 provides the total measure of the two base angles.
Tips for Finding Base Angles in an Isosceles Triangle
You then add the vertex angle and the two variable expressions, setting the total equal to 180. You calculate the remaining degrees by performing 180 minus 108, which equals 72.
More About How to find the base angles of an isosceles triangle
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