Question

If the angles of a triangle are in ratio 5:6:7. Find the angles.

Answer 1

Answer:

let angles of triangle be x then,

5x,6x,7x

now,

sum of angles of triangle is 180

5x + 6x+ 7x =18 18x = 180

x= 10

now

5x = 5x10 =50

6x = 6x10 = 60

7x = 7x10 = 70

Answer 2

Answer:

The angles of the triangle are 50°, 60°, 70°.

Step-by-step explanation:

Angle Sum property of a triangle:

• Angle Sum property states that the sum of all internal angles in a triangle is equal to 180°.

Angle Sum property of a Polygon:

• S = (n-2)×180° is the formula for the angle sum property of any polygon, where n is the number of sides in the polygon.
• According to this polygonal feature, The number of triangles that may be created inside a polygon can be used to calculate the total of its internal angles.

   Given,

         Angles of a triangle in ratio 5:6:7

         Let the angles be 5x, 6x, 7x

   By Angle sum property

        we can write

          5x+6x+7x = 180

                      18x = 180

                         x = 10°

       Now substitute x = 10 in all the angles 5x, 6x, 7x

             5x = 5(10) = 50°

             6x = 6(10) = 60°

              7x = 7(10) = 70°

  Hence the angles of the triangle are  50°, 60°, 70°.

Know more about Angle Sum property:

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