Question

the angles of a pentagon are in ratio 2 ratio 3 ratio 3 ratio 3 ratio 4

Answer 1

Answer:

Step-by-step explanation:

Let the given ratio be 2x,3x,3x,3x,4x

Sum of interior angle of a Pentagon is 450°

2x+3x+3x+3x+4x =450

15x = 450

x = 30°

Angles are. 60°,90°,90°,90°,120°

Answer

Answer 2

72° ,108°, 108° ,108°,144°

Step-by-step explanation:

Given:

Ration between angles are 2:3:3:3:4

Let common value = A

Angle = 2A , 3A , 3A , 3A ,4A

We know that sum of all angles of a Pentagon = 540°

So , 2A + 3A + 3A + 3A + 4A = 540°

                                        15A = 540°

                                            A = 540°/ 15

                                            A = 36°

Therefore , value of each angle =

2 x 36° = 72°

3 x 36° = 108°

3 x 36° = 108°

3 x 36° = 108°

4 x 36° = 144°

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