Question

If the angles of a triangle are in the ratio 1:2:3 . Find all the angles of the triangle​

Answer 1

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If the angles of a triangle are in the ratio 1:2:3 . Find all the angles of the triangle.

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$\huge\boxed{\blue{Given :}}$

➣ Ratio of the three angles of a triangle = 1:2:3

$\huge\boxed{\red{To \: Find :}}$

➣ All the three angles of a triangle

$\huge\boxed{\pink{Solution :}}$

➪ By using Angle Sum Property of triangle

➪ Sum of angles in a triangle = 180°

⇒ x + 2x + 3x = 180°

⇒ 6x = 180°

⇒ x = $\cancel\frac{180} {6}$

⇒ x = 30°

➣ First Angle of the triangle = x = 30°

➣ Second Angle of the triangle = 2x = 2 × 30 = 60°

➣ Third Angle of the triangle = 3x = 3 × 30 = 90°

➦ So, the three angles of the triangle are 30°, 60° and 90°

Answer 2

30°,60° and 90° is the answer

Hope this helps You