Question

In a quadrilateral ABCD, the angles A, B and C are in the ratio 1:3:7.
Calculate angle C if the sum of angles A, B and C is
1)242
2)253

Answer 1

ratio = 1x+3x+7x = 11x

if their sum is 242

11x = 242

x= 242/11

x = 22

angle a+b+c+d = 360

242 +c = 360

c = 360-242

= 118

if their sum is 253

11x = 253

x = 253/11

= 23

a +b+c+d = 360

253 +c = 360

c = 360-253

=107

hope it helps u dear....