Question

In the following figure, the value of x is?​

Answer 1

Answer:

1)let a angle= a

now,

a+110°=180°[straight angle]

or, a= 70°

2) let a angle=b

b+50°=180°[straight angle]

b= 130°

3) let a angle=c

c+90°=180[straight angle]

c=90°

4) let a angle=d

then,

a+b+c+d=360° [sum of angles of a quadrilateral is 360°]

70°+130°+90°+d=360°

d+270°=360

d=360°-270°

d= 90°

so, x+d=180°[straight angle]

x+90°=180°

x=180°-90°

x= 90°