Two adjacent angles of a parallelogram are (3x - 4)° and (3x + 16)°. Find the value of x and hence find the measure of each of its angles.

Let A = (3x - 4)°, B = (3x + 16)°


Since the sum of any two adjacent angles of a parallelogram is 180°,


A + B = 180°


(3x - 4)° + (3x + 16)° = 180°


6x + 12° = 180°


6x = 180° - 12°


6x= 168°


X= 168/6 = 28°


A = (3x - 4)° = 80°


B = (3x + 16)° = 100°


Also, B + C = 180° [Since, B and C are adjacent angles]


100° + C = 180°


C = (180° - 100°) = 80°


Further, C + D = 180° [Since, C and D are adjacent angles]


80° + D = 180°


D = (180° - 80°) = 100°


Therefore, x= 28°, A = 80°, B = 100°, C = 80° and D = 100°.


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