Question

А
X+1
X + 2
B
С
x + 2
2x + 1
D X + 3 E
What is the value of 'x' if the
perimeter of the given figure is 69
cm?
18
2 13
3 21
13:46
4 10​

Answer 1

Step-by-step explanation:

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