Question

Find the value of x in each of the following quadrilaterals.Please answer correctly while showing working​

Answer 1

Explanation:

the sum of all angles in a quadrilateral is 360 degrees (think also about squares and rectangles with 4×90 degrees).

so, all we need to do is find the missing degrees when adding up all known angles.

i)

50 + 110 + 120 = 280

360 - 280 = 80 degrees = x

ii)

70 + 120 + 90 = 280 (when the external angle is 90 degrees, then also the internal angle is 90 degrees)

360 - 280 = 80 degrees = x

Answer 2

`1)x = 70 \degree \\ 2)x = 80 \degree`

Explanation:

Sum of the interior angles of quadrilateral is 360°

lets solve now

`1)12 0+ 110 + 60 + x = 360 \\ 290 + x = 360 \\ x = 360 - 290 \\ x = 70 \degree`

`2)120 + 70 + 90 + x = 360 \\ 280 + x = 360 \\ x = 360 - 280 \\ x = 80 \degree`

hope this helps you.

let me know if you have another questions :-)