Question:
If the angles of a triangle are in the ratio 1: 2: 3, determine three angles.
Solution:
Given that,
Angles of a triangle are in the ratio 1: 2: 3
Let the angles be x, 2x, 3x
∴ We know that,
Sum of all angles of triangles is 180°
x + 2x + 3x = 180°
⇒ 6x = 180°
⇒ x = 180°/6
⇒ x = 30°
Since x = 30°
2x = 2(30)° = 60°
3x = 3(30)° = 90°
Therefore, angles are 30°, 60°, 90°
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