Verified Answer :

ArcTanMan

Looking at the diagram, you can tell that y and 116 degrees are supplementary, meaning that they add up to 180 degrees.

therefor 180-116=y
y =64

if we add all the angles we know together, 64 + 72 + 125 = 261

360 - 261 = 99

therefor x = 99

The value of x = 99°

The sum of angle on a straight line = 180°

Therefore,

y + 116 = 180

y = 180 - 116

y = 64°

Sum of angles in a quadrilateral = 360°

Therefore,

64°+125°+72+x°=360°

x = 360°- 64°- 72°- 125°

x = 99°

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