Question

find the value of x in the figure given below using properties of kite : DAB = 95 degree, DCB = 55 degree​

Answer 1

Answer:

We know that,

Sum of all four angles of a quadrilateral = 360o

Sum of two given angles = 40o + 110o = 150o

So, the sum of remaining two angles = 360o – 150o = 210o

Also given,

Ratio in these angles = 3 : 4

Hence,

Third angle = (210o x 3)/(3 + 4)

= (210o x 3)/7

= 90o

And,

Fourth angle = (210o x 4)/(3 + 4)

= (210o x 4)/7

= 120o