Question

Find all the angles of a parallelogram ,give that one angle is 36 more than twice the smallest angle

Answer 1

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Your answer is in above attachment

Answer 2

Answer:

Step-by-step explanation:

Given :-

One angle is 36 more than the twice the smallest angle.

To Find :-

Angles of the parallelogram

Formula to be used :-

Sum of adjacent sides of a parallelogram = 180

Solution :-

We know that the Sum of adjacent sides of a parallelogram is 180

Let the smallest angle of the parallelogram be x.

And the other angle will be (2x + 36).

According to the Question,

⇒ x + 2x + 36 = 180

⇒ 3x + 36 = 180

⇒ 3x = 180 - 36

⇒ 3x = 144

⇒ x = 144/3

⇒ x = 48

Smaller angle = 48°

Larger angle = 2 × 48 + 36 = 132°