Question

the flag of the country contains an isosceles triangle. ( recall that an isosceles triangle contains two angles with the same measure ) if the measure of the third angle of the triangle is 45 more than the measure of either of the other two angles, find the measure of each angle of the triangle ( recall that the sum of the measure of the angles of a triangle is 180)

Answer 1

Answer is that the third angle is 90 degrees.

If it's 45 degrees above the other two identical angles (because isoaceles have two angles congruent to each other), then we just need to find what angle is needed to fit the third angle which is 45 degrees above them. The two identical angles would be 45 degrees, by the way. 45 + 45 + 90 = 180.