Question

find the value of x.​

Answer 1

Step-by-step explanation:

In traingle ABC

$\\ \sf\longmapsto 40+90+<B=180$

$\\ \sf\longmapsto <B+130=180$

$\\ \sf\longmapsto <B=50°$

Now

$\\ \sf\longmapsto x+100+50=180$

$\\ \sf\longmapsto x=30°$

Answer 2

Answer:

Step-by-step explanation:

In ΔABC ,

∠A + ∠ACB + ∠B = 180 {Angle sum property of triangle}

40 + 90 + ∠B = 180

     130  + ∠B = 180

               ∠B = 180 - 130

              ∠B = 50

In ΔBFD ,

∠D + ∠B + ∠BFD = 180

x + 50 + 100 = 180

       x + 150 = 180

                x = 180 - 150

x = 30°