The three angles of a triangle are in the ratio 4:5:6 . Find all the angles of the triangle.
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The three angles of a triangle are in the ratio 4:5:6 . Find all the angles of the triangle.
➣ Ratio of the three angles of a triangle = 4:5:6
➣ Let the first angle of the triangle = 4x
➣ Let the second angle of the triangle = 5x
➣ Let the third angle of the triangle = 6x
➣ All the Three angles of the triangle
➪ By using Angle Sum Property of triangle
➪ Sum of angles in a triangle = 180°
⇒ 4x + 5x + 6x = 180°
⇒15x = 180°
⇒ x =
⇒ x = 12
➣ First Angle of the triangle = 4x = 4 × 12 = 48°
➣ Second Angle of the triangle =5x= 5 × 12 = 60°
➣ Third Angle of the triangle = 6x = 6 × 12 = 72°
➦ So, the three angles of a triangle are 48°,60° and 72°
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