Question

The angels of a triangle are in the ratio 5:6:7.find the angels of the triangle

Answer 1

Step-by-step explanation:

let the angles be 5x,6x,7x

A/Q

5x+ 6x+ 7x =180°

18x = 180°

x=180°/18

x=10°

5x=50°

6x=60°,7x=70°

Answer 2

Answer :

→ 50° , 60° and 70°

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Given :

The angles of triangles in ratio of 5:6:7

To Find :

The measure of three angles

Sølution :

• The Angle Sum Property of triangle is 180° .

Now , let the angle be " x " .

=> 5x + 6x + 7x = 180°

=> 18x = 180°

=> x = $\sf \dfrac{180°}{18}$

=> x = 10°

• Value of x is 10°

Now , measure of three angles are :

• 5x = 5(10) = 50°

• 6x = 6(10) = 60°

• 7x = 7(10) = 70°

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Verification :

= Angle 1 + Angle 2 + Angle 3 = 180°

= 50° + 60° + 70° = 180°

= 180° = 180°

— LHS = RHS , Hence Proved .

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