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