Question

Find the value of x

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Answer 1

Here,

let the forth degree of the quadrilateral be y

Then,

90° +90° +68.5° + y =360° (all the interior angle of a quadrilateral is 360°)

or, 248.5+ y=360°

or, y = 360° - 248.5°

or, y= 111.5°

Again, the second angle of the triangle be a

Then,

a=111.5(vertically opposite angle)

Lastly,

29° + 111.5° + x = 180°(all the interior angle of a triangle is 180°)

or, 140.5° + x = 180°

or, x =180° - 140.5°

or, x=39.5°

Answer 2

82•5°

Explanation:

`28 + 68.5 + x = 180`

`x = 180 - 97.5`

`x = 82.5`