Math, asked by InnocentGirl12, 5 hours ago

The three angles of a triangle are in the ratio 4:5:6 . Find all the angles of the triangle.​

Answers

Answered by ItZzKhushi
3

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The three angles of a triangle are in the ratio 4:5:6 . Find all the angles of the triangle.

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➣ 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

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➣ All the Three angles of the triangle

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➪ By using Angle Sum Property of triangle

➪ Sum of angles in a triangle = 180°

⇒ 4x + 5x + 6x = 180°

⇒15x = 180°

⇒ x = \frac{180°} {15}

⇒ 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°

Answered by Mysteryboy01
0

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