Q2 of 69 Page 9

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.

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