Answer:
x=3
Step-by-step explanation:
Since this is an isosceles trapezoid
The angles at the top have to equal each other
112 = 30x + 11y
The sides also have to equal each other.
12 = 2x+3y
Divide each side by 3
12/3 = 2x/3 + 3y/3
4 = 2/3 x +y
Subtract 2/3 x from each side
4 -2/3 x =y
Substitute this into the first equation
112 = 30x + 11y
112 = 30x +11(4-2/3x)
112 = 30x +44 -22/3 x
Subtract 44 from each side
112-44 = 30x +44-44 -22/3 x
68 = 30x -22/3 x
Get a common denominator on the right of 3
68 = 90/3x -22/3 x
68 = 68/3 x
Multiply each side by 3/68
68 * 3/68 = 68/3 * 3/68 x
3 =x
