In an isosceles triangle, two sides are of equal length, and the angles opposite those equal sides are congruent.
Let's label the angles in the isosceles triangle:
The base angle (the angle between the two equal sides) is denoted as "B."
The two congruent angles (opposite the equal sides) are denoted as "A" and "C."
You mentioned that the measure of angle B is 52 degrees, and angle A is 64 degrees. To find the degree measure of each angle in the triangle, we can use the fact that the angles in a triangle add up to 180 degrees.
So, we can set up an equation:
A + B + C = 180
Substitute the known values:
64 + 52 + C = 180
Now, solve for angle C:
C = 180 - 64 - 52
C = 180 - 116
C = 64 degrees
Now we have found the degree measure of all three angles in the isosceles triangle:
Angle A = 64 degrees
Angle B = 52 degrees
Angle C = 64 degrees