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Question

One of the acute angles of a right triangle is 50°. Find the other acute angle.

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Solution

In a right angle triangle, one of the angles is 90o.
It is given that one of the acute angled of the right angled triangle is 50o.
We know that the sum of the measures of all the angles of a triangle is 180o.
Now, let the third angle be x.
​Therefore, we have:
90o​ + 50o + x = 180o
⇒ 140o + x = 180o
​ ⇒ x = 180o - 140o
⇒ x = 40o
The third acute angle is 40o​.

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