Question

The Angles Of a Triangle are arranged in ascending order of magnitude. If the difference between two consecutive angles is 10°. Find the three angles​

Answer 1

Answer:

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Answer 2

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$\sf\green{Given :}$

➣ The Angles of a triangle are arranged in ascending order of magnitude

➣ The Difference Between two consecutive angles = 10°

$\sf\red{To \: Find :}$

➙ The Three angles of a triangle

$\sf\pink{Solution :}$

➪ Let, the first angle of the triangle = x°

➪ Let, the second angle of the triangle = x + 10°

➪ Let, the third angle of the triangle = x + 10 + 10°

➪ By Using Angle Sum Property of Triangle

➪ Sum of Angles in a triangle = 180°

⟼ x + x + 10° + x + 10° + 10° = 180°

⟼ 3x + 30° = 180°

⟼ 3x = 180° - 30°

⟼ 3x = 150°

⟼ x = $\cancel\frac{150°}{3}$

⟼ x = 50°

⇒ First Angle of The Triangle = x = 50°

⇒ Second Angle of the Triangle = x + 10° = 50° + 10° = 60°

⇒Third Angle of the Triangle = x + 10° + 10° = 70°

➦ So, the three angles of a triangle are 50°, 60° and 70°.