Question

The angles of quadrilateral are in the ratio 6: 10 :18:26 ,then the smallest and largest angles are : 
A)60°,108°
 B)108°,156 
C)36°,156°
 D)36°,60°



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Answer 1

Answer:

36,56degree

Step-by-step explanation:

6x+10x+18x+26x=360 ; 60x=360 ;x=6 ;

Answer 2

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Given :-

The angles of quadrilateral are in the ratio of 6:10:18:26

To find :-

The smallest and largest angles.

Steps :-

Let all the angles be x

Therefore, 6x , 10x , 18x , 26x.

[ Sum of all the angles of quadrilateral = 360° ]

6x + 10x + 18x + 26x = 360°

60x = 360°

x = 360 / 60

x = 6°

Therefore,

6x = 6 × 6 = 36°

10x = 10 × 6 = 60°

18x = 18 × 6 = 108°

26x = 26 × 6 = 156°

Cross Check :-

36° + 60° + 108° + 156° = 360°

So, Here's a solution! Hurray! we did it :p

Option C. 36° , 156° , is a correct option.