Question

if one angle of a parallelogram is 36°less than twice it's adjacent angle, then find the angles of parallelogram

Answer 1

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Answer 2

Answer:

Answer:

Given :-

One side of a parallelogram is 36 less than twice adjacent sides .

To Find :-

What is the angles .

Solution :-

» Let, one of the angle be x

» And, the other angle be 2x - 36

We know that,

★ The sum of adjacent sides = 180° ★

➣ According to the question,

⇒ x + 2x - 36° = 180°

⇒ 3x = 180° + 36°

⇒ 3x = 216°

⇒ x = $\sf\dfrac{\cancel{216°}}{\cancel{3}}$

➠ x = 72°

Hence, the other angles required :-

➟ One angles is 72°

➟ Other angle will be 2x - 36 = 2(72) - 36 = 108°

$\therefore$ The angles of parallelogram are 108°, 72°, 108° and 72° .

Let's us verify the answer,

We know that,

✪ Sum of four parallelogram = 360° ✪

⇒ 108° + 72° + 108° + 72° = 360°

⇒ 180° + 180° = 360°

➠ 360° = 360°

Hence, Verified .