Question
Find x.
- 30°
- 60°
- 90°
- 180°
Hint:
We are given a right-angled triangle. We are given one of its angle . It is 30°. We are asked to find the value of the another angle. We will do it by using properties of a triangle.
The correct answer is: 60°
Let the given triangle be ABC.
∠ABC =90°
∠ACB = 30°
Now, we know that the sum of angles of a triangle is 180.
So, we can write.
∠ACB + ∠ABC + ∠CAB = 180°
30° + 90° + x = 180°
x = 180°– 120°
x = 60°
∠CAB = 60°
The angles are 30°-60°-90°.
Therefore, the value of x is 60°.
For such questions, we should know the properties of triangles.
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