Question

angles of a pentagon are in a ratio 2:3:4:5:6. find the measure of each angle if the sum of all the angles of the pentagon is 540°​
please explain step by step

Answer 1

Answer:

27

Step-by-step explanation:

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

20x=540

X=27

Answer 2

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• 2x = 54°
• 3x = 81°
• 4x = 180°
• 5x = 135°
• 6x = 162°

Step-by-step explanation:

Let he angles be 2x , 3x , 4x , 5x and 6x

As the sum of all angles of a Pentagon is 540°

2x + 3x + 4x + 5x + 6x = 540°

20x = 540°

$x = \frac {540°}{20}$

x = 27°

.°. The value of

2x = 2 × 27 = 54°

2x = 54°

3x = 3 × 27 = 81°

3x = 81°

4x = 4 × 27 = 108°

4x = 108°

5x = 5 × 27 = 135°

5x = 135°

6x = 6 × 27 = 162°

6x = 162°