Question

I just need to know how I would be able to find x

Answer 1

`x=15`°

Explanation:

The sum of degree measures in a full angle (a circle) is (360) degrees. This means that the sum of all of the angles in this diagram is (360) degrees, as the angles form a full arc. Therefore, one can form an equation by adding up all of the angles and setting the equation equal to (360) degrees. Then one can substitute each angle value with the equation that is used to represent it, simplify, and use inverse operations to solve for the value of (x).

`(m<AMB)+(m<BMC)+(m<CMD)+(m<AMD)=(360)`

Substitute,

`(46)+(4x-2)+(9x+6)+(8x-5)=360`

Simplify,

`(46)+(4x-2)+(9x+6)+(8x-5)=360`

`21x+45=360`

Inverse operations,

`21x+45=360`

`21x=315`

`x=15`