An isosceles triangle has a measure of 70o what is the measure of each base angle?

To figure out what the measure of the base angles in an isosceles triangle are, it is important to first understand several things about an isosceles triangle.

1. A triangle has 180 degrees.

2. An isosceles has two equal sides, which means that it also has two equivalent angles.

3. In knowing at least any one angle of an isosceles triangle, it is possible to figure out the other two.

Since the base angles are unknown in this question, and they are equivalent to one another, it is a simple algebraic problem.

180 - 70 = 2A

180 is the number of degrees in a triangle

70 is the number of degrees taken up by angle C, with angles A and B being the equivalent base angles.

2a is the double of one base angle. Let's solve.

180 - 70 = 2A

110 = 2A

110/2 = A

55 = A

The measure of each base angle is 55.