Question

the angles of quadrilateral are inthe ratio 2:3:6:7. find the largest angle​

Answer 1

Answer:

sum of all angles in a quadrilateral is 360°

let the angle be x

Step-by-step explanation:

=> 2x+3x+6x+7x= 360°

=> 18x= 360

=> x= 360/18

Therefore x= 20

=> angle 1 = 20× 2= 40

=> angle 2=20×3=60

=> angle 3= 20× 6=120

=> angle 4 =20×7 = 140

Hence , the lat angle is the greatest.

Answer 2

✧ Given :

• Ratio of angels = 2 : 3 : 6 : 7

✧ To Find :

• Largest angle ?

✧ Solution :

☯ Let each angle of the quadrilateral be 2x, 3x, 6x, and 7x.

• We know that,

${ \boxed{ \pink{ \sf{Sum \: of \: all \: the \: angles \: of \: quadrilateral \: is \: 360°}}}}$

$➠ \: { \sf{∴ \: 2x + 3x + 6x + 7x = 360°}}$

$➠ \: { \sf{18x = 360°}}$

$➠ \: { \sf{x = \frac{360}{18}}}$

$➠ \: { \boxed{ \purple{ \sf{x = 24°}}}}$

∴ Required Angle is :-

• 2x = 2 × 20 = 40°

• 3x = 3 × 20 = 60°

• 6x = 6 × 20 = 120°

• 7x = 7 × 20 = 140°

◙ Hence, The largest angle is 140°

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