Question

The measure of the acute angle of an isosceles right angled triangle is

Answer 1

the answer is 45 degree

since its a right angled isosceles triangle we can take the angles as x,x,90.because the base angles will be equal

therefore

x+x+90= 180( sum of 3 angles is 180)

2x=90

x= 45

Answer 2

Here is your solution

Given :-

ABC is a right isosceles Triangle .

in which

Two sides are equal

I. e

AC = BC
hence
∠A=∠B

∠ACB = 90°

we know that

sum of triangle is 180°

∠A+∠B+∠c = 180

∠A+∠B+90° = 180

∠A+∠A+90° = 180° [ ∠A = ∠B Given ]

2∠A+90° = 180°

2∠A = 180°-90°

∠A = 90°/2

∠A=45°

Hence

measure of acute angle of a right angled isosceles triangle is 45°

Hope it helps you