Question

a right angle isosceles triangle abc is right angle at a then find the measure of <b

Answer 1

In tri. ABC

Angles A + B + C = 180{ Angle sum property}

Angle B = Angle C { opposite angles of an isosceles triangle are equal }

B + C = 2B

A + 2B = 180

90 + 2B = 180

B = 180 - 90 / 2 = 90 / 2 = 45 DEGREES