Question

Find the value of x. X+16 3x-1 6x 5x. It is like a trapezoid on the outside to the left it is x+16 on the bottom right 6x on the top left 3x-1 and bottom right 5x. It has a straight line of top then a non straight line on the bottom of the shape.

Answer 1

The value of x is 23.

Explanation:

Consider the below figure attached with this question.

Form the given figure it is clear that
`(x+16)^(\circ),(3x-1)^(\circ),6x^(\circ),5x^(\circ)`

The sum of all exterior angles of a quadrilateral is 360°.

`(x+16)+(3x-1)+6x+5x=360`

On combining like terms we get

`15x+15=360`

`15x=360-15`

`15x=345`

Divide both sides by 15.

`x=23`

Therefore, the value of x is 23.