Question

the adjacent angles of a parallelogram are x and (2x+30) find all the angles of the parallelogram​

Answer 1

Answer:

Step-by-step explanation:

Let the angles of the parallelogram be angle A B C and D

angle A = x and angle B = 2x+30

opposite angles of a parallelogram are equal,

thus angle A = C and angle B = D

we know that the sum of adjacent angles of a parallelogram are supplementary and the form a pair of interior angles

thus,

angle A + angle B = 180

x + 2x + 30 = 180

3x = 150

x=50 degrees

thus,

angle A = angle C = x =50 degrees

angle B = angle D = 2x+30 = 130 degrees

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