If the difference between the measures of the two smaller

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If the difference between the measures of the two smaller angles of a right angled triangle is 8°, then the smallest angle is :

1. 37°
2. 41°
3. 42°
4. 49°

Correct Option: B

We draw a figure right angled triangle ABC ,

From triangle , ∠A = 90°
∴ ∠B + ∠C = 90°
Let, ∠B = y° and ∠C = (y + 8)°
∴ y + y + 8° = 90°
⇒ 2y = 90° – 8° = 82°

⇒ y =	82	= 41° = smallest angle
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