Respuesta :

Step-by-step explanation:

In an isosceles right angle triangle, two equal acute angles and one right angle are present.

Let the acute angle be x

Therefore by angle sum property,

x+x+90= 180

2x+90=180

2x=180-90

2x=90

x=90/2

x=45°
  • We know, in an isosceles triangle, two angles are equal.
  • In an isosceles right angled triangle, there are two equal acute angles and the third angle measures 90°.
  • Let us assume the measure of each acute angle be x.
  • We know, the sum of all angles of a triangle is 180°.
  • Therefore, by the problem

x + x + 90° = 180°

or, 2x + 90° = 180°

or, 2x = 180° - 90°

or, 2x = 90°

or, x = 90° ÷ 2

or, x = 45°

So the measure of each acute angle of an isosceles right angled triangle is 45°.

Otras preguntas