Question

the angles of a quadrilateral are 20 degree,(4x-5) degree, (5x-2) degree and 145 degree. find the value of x.

Answer 1

According to angle sum property of quadrilaterals (360⁰),
20 + 4x - 5 + 5x - 2 + 145 = 360
4x + 5x + 145 + 20 - 5 - 2 = 360
9x + 158 = 360
9x = 360 - 158 = 202
x = $\frac{202}{9}$
x = 22.444444444444 and so on...

Answer 2

Answer:According to angle sum property of quadrilaterals (360⁰),

20 + 4x - 5 + 5x - 2 + 145 = 360

4x + 5x + 145 + 20 - 5 - 2 = 360

9x + 158 = 360

9x = 360 - 158 = 202

x = \frac{202}{9}

x = 22.444444444444

Step-by-step explanation: