Question

angle of Pentagon arrange ratio of 2:3:4:5:6 find the measure of each angle​

Answer 1

Answer:

Step-by-step explanation:

Sum of interior angles of a Polygon with ’n’ sides = (n-2)*180

Therefore, sum of Interior angles of Pentagon = (5–2)*180 = 540 degrees

As the angles are in ratio 2:3:4:5:6

Then, 2x +3x +4x +5x +6x = 540

20x = 540

x=27 degree

There fore angle of Polygon are

2x = 2*27 = 54 degree

3x = 3*27 = 81 degree

4x =4*27 = 108 degree

5x = 5*27 = 135 degree

6x = 6*27 = 162 degree

Cross Check:

54+81+108+135+162 = 540

Answer 2

2x+3x+4x+5x+6x=540

20x = 540

x = 540/20=27

2x =2×27=54

3x =3×27=81.

4x =4×27=108

5x=5×27=135

6x =6×27=162

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