Question

Find the value of x.​

Answer 1

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

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°