Question

Find the value of x
85
(X + 37)
(6x + 22)
69

Answer 1

x = 21°

The angles of the quadrilateral are:

• 85°
• 58°
• 148°
• 69°

Step-by-step explaination:

The above figure is a quadrilateral.

Hence, the angle sum of the shape is 360°.

Therefore,

`85 + (x + 37) +69 + (6x + 22) = 360`

`85 + x + 37 + 69 + 6x + 22 = 360`

`(85 + 37 + 69 + 22) + (x + 6x) = 360`

`213 + 7x = 360`

`7x = 360 - 213`

`7x = 147`

`x = (147)/(7)`

`x = 21`