Question

determine the measure of each of the equal angles of a right angled isosceles triangle

Answer 1

let the angles be 90, x, x
90+2x=180
x=45
so the equal angles are of 45° each

Answer 2

as it is the right angled isosceles triangle the one angle will be 90 degree and we know that isosceles triangle has 2 equal sides and angle opposite to equal sides are congruent therefore remaining angles will be
a+b+c= 180
90+2a = 180
2a =180-90
a= 45