Each acute angle of an isosceles right triangle measures
An isosceles right triangle is a triangle with two sides of equal length and one right angle. In this type of triangle, the two acute angles are also equal to each other. Let's explore the measurement of each acute angle in an isosceles right triangle.

Explanation:
- In an isosceles right triangle, one of the angles is 90 degrees because it is a right triangle.
- Since it is an isosceles triangle, the other two angles are equal to each other.
- The sum of the angles in any triangle is always 180 degrees.
- Therefore, in an isosceles right triangle, the sum of the two equal angles (let's call each acute angle x) and the right angle (90 degrees) is equal to 180 degrees.
- So, x + x + 90 = 180
- Simplifying the equation, we get 2x + 90 = 180
- Subtracting 90 from both sides, we get 2x = 90
- Dividing by 2, we get x = 45
Therefore, each acute angle of an isosceles right triangle measures 45 degrees. This means that both acute angles in an isosceles right triangle are equal to 45 degrees each.

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