If in triangle ABC angle A and B are exactly the same, but angle C is half as large as angle A, how much is each angle equal to?

To find the value of each angle of the triangle use the
property that the sum of the angles of a triangle is equal to 180
degrees.

As angle C is half as large as angle A and A = B,
we can write the three angles of the triangle in terms of C as C, 2C and
2C.

C + 2C + 2C = 5C =
180

=> C = 36

A = 36*2
= 72 = B

The angles of the triangle are A = 72 degrees, B =
72 degrees and C = 36 degrees.