Answer:
X=11
Step-by-step explanation:
Assuming the quadrilateral shown is a parallelogram, opposite angles are congruent and the four angles add up to 360°.
First, we write the equation out by adding the given sides multiplied by 2 to account for the opposite angles and set this sum equal to 360°.
2*(8x+30)+2*(4x+18)=360°
Next, simplify by distribution:
16x+60+8x+36=360
Next, simplify by combining like terms:
24x+96=360
Next, subtract 96 from both sides:
24x=264
Finally, solve for x by dividing both sides by 24:
x=11°
