The value of angle is 40 degrees
The value of angle P is 140 degrees
Properties of a Parallelogram
- The opposite angles of a parallelogram are equal.
- The opposite sides of a parallelogram are equal
- The sum of angle in a parallelogram is 360 degree
Therefore,
∠S = x + 15
∠p = 6x - 10
2(x + 15) + 2(6x - 10) = 360
2x + 30 + 12x - 20 = 360
14x + 10 = 360
14x = 350
x = 350 / 14
x = 25 degrees
∠S = x + 15 = 25 + 15 = 40 degrees
∠p = 6x - 10 = 6(25) - 10 = 150 - 10 = 140 degrees
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