Base Angles
In geometry, base angles refer to the pair of angles formed by the base and the legs of an isosceles triangle
In geometry, base angles refer to the pair of angles formed by the base and the legs of an isosceles triangle. An isosceles triangle is a triangle that has two sides of equal length. The base angles are the angles opposite to the legs of the triangle.
In an isosceles triangle, the base angles are always congruent, which means they have the same measure. This is one of the properties of isosceles triangles.
To find the measure of the base angles, you can use the following steps:
1. Identify the isosceles triangle: Look for a triangle that has two sides of equal length, often referred to as the legs, and one side that is different, called the base.
2. Identify the base and the legs: The base is the side that is different from the other two sides. The legs are the two equal sides.
3. Mark the base angles: The base angles are the angles opposite to the legs. They are located at the ends of the base side.
4. Use the congruency property: Since the triangle is isosceles, the base angles are congruent, which means they have the same measure.
Considering this, if you know the measure of one of the base angles, you can conclude that the other base angle also has the same measure.
For example, if one base angle measures 50 degrees, then the other base angle must also measure 50 degrees, making the base angles both congruent to 50 degrees.
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