Question

What is the value of x? The figure contains 2 lines that intersect to form what looks like an x. Two of the 4 angles in the x are labeled. The left angle is labeled open parenthesis 3 x minus 3 close parenthesis degrees. The right angle across from it is labeled open bracket 6 open parenthesis x minus 10 close parenthesis close bracket degrees. Enter your answer in the box. x =

Answer 1

`x=38.5^\circ`

Explanation:

Given that the left angle =
`(3x-3)^\circ`

The right angle across from it
`= 6(x-10)^\circ`

The other two angles are x and x.

We know that the sum of angles at a point equals 360 degrees.

Therefore,

`(3x-3)^\circ+6(x-10)^\circ+x+x=360^\circ\\3x-3+6x-60+2x=360\\11x-63=360\\11x=360+63\\11x=423\\x=38.5^\circ`

The value of x is approximately 38.5 degrees.