Question

Figure VWYX is a kite.

Answer 1

Answer:

∠VXY = 74°

Step-by-step explanation:

The sum of the 4 interior angles of a kite = 360°

Sum the 4 angles and equate to 360

90 + 18x - 2 + 90 + 12x + 2 = 360 ← simplify left side

30x + 180 = 360 ( subtract 180 from both sides )

30x = 180 ( divide both sides by 30 )

x = 6

Hence

∠VXY = 12x + 2 = (12 × 6) + 2 = 72 + 2 = 74°

Answer 2

Your answer is the second option, 74.
You can find this by knowing that a kite is a quadrilateral, and angles in a quadrilateral add up to 360 degrees. Then, because two of the angles in the kite are right angles, you can say that the two angles left over add to 180 (360 - (90 + 90)).
This gives you the equation:
(12x + 2) + (18x - 2) = 180
30x = 180
x = 6

Then you substitute 6 into (12x + 2) because this is the expression for angle VXY, and you get 12(6) + 2 = 72 + 2 = 74.

I hope this helps! Let me know if you have any questions :)