Question

The third angle in an isosceles triangle is 1/22 as large as each of the two base angles. Find the measure of each angle.

Answer 1

Base angle = x
third angle = 1/22x
x + x + 1/22x = 180

x + x + (1/22)x = 180
2x + (1/22)x= 180
2.0454545455 x = 180
x = 88
Both base angles = 88 and third angle equals (88/22) = 4 degrees.

88 + 88 + 4 = 180°