Question

Find the measure of each of acute angle in a right angle isosceles triangle.​

Answer 1

Hi, Here is your answer

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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°.

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Answer 2

The sum of angles in a triangle is 180°

Given, one angle is 90°
In isosceles triangle two angles are equal.

Two equal angles= 180-90 = 90°

Each angle = 90°/2 = 45°

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