Question

the adjacent angles of a parallelogram are x and (2x+30). find all the angles of the parallelogram. chapter 12 maths in 7th class​

Answer 1

Answer:

Step-by-step explanation:

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

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

we know that opposite angles of a parallelogram are equal

thus,

angle A = angle C = x

angle B = angle D = 2x + 30

we know that the sum of adjacent angles of an parallelogram are supplementary as they form a pair of interior angles

thus, angle A + angle B = 180

x + 2x + 30 = 180

3x = 150

x = 50 degrees

therefore,

angle A = angle C = x = 50 degrees

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

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