Question

Find 'x' in the following ​

Answer 1

First we have to find angle D

As it is a quadrilateral

`\\ \sf\longmapsto <A+<B+<C+<D=360`

`\\ \sf\longmapsto 45+50+35+<D=360`

`\\ \sf\longmapsto 130+<D=360`

`\\ \sf\longmapsto <D=360-130`

`\\ \sf\longmapsto <D=230°`

Now

`\\ \sf\longmapsto <D+x=360`

`\\ \sf\longmapsto x+230=360`

`\\ \sf\longmapsto x=360-230`

`\\ \sf\longmapsto x=130°`

Answer 2

x = 130

Explanation:

Sum of all the angle of quadrilateral = 360°

50 + 45 + 35 + ∠ADC = 360

130 + ∠ADC = 360

∠ADC = 360 - 130

∠ADC = 230

x = Reflex ∠ADC

= 360 - 230

= 130