Question

Theangle so faquadrilateral arein the ratio2:3:6:7.The large stangle of quadrilateralis

______

a)120° b)150° c)145° d)140°​

Answer 1

ANSWER: 140°

Step-by-step explanation:

angles are in ratio= 2:3:6:7

let the angels be 2x, 3x, 6x, 7x

then to the sum of total angle of a quadrilateral is 360° ( we know)

2x+3x+6x+7x= 360°

18x= 360°

x = 20°

The lagest angle as we see is 7x= 7*20= 140°

Answer 2

Let the angles be 2x, 3x, 6x,7x. As we know that the sum of interior angles of a quadrilateral is 360. So, we should get 360 after adding these four angles. Now by adding them we will get the value of x. Now the largest among the four angle above is 7x and we have to find largest angle, 7 in multiply with x . Now by multiplying the value of x by 7 we will get the largest angle. Thank you. Hope you have understood