If two acute angles of a right triangle are equal, then each is equal to
Given that the triangle is acute.
So, ∠1, ∠2 and ∠3 be the angles of the triangle.
∠1 = 90o (Given)
∠2 = ∠3
We know that,
∠1 + ∠2 + ∠3 = 180o
90o + ∠2 + ∠2 = 180o
2∠2 = 180o – 90o
∠2 = 45o
Therefore, ∠2 = ∠3 = 45o
Thus, each acute angle is equal to 45o.