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


22 = 180o – 90o


2 = 45o


Therefore, 2 = 3 = 45o


Thus, each acute angle is equal to 45o.

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