Question

if one angle of a parallelogram is 36 degrees less than the twice its adjacent angles then find the angles of the parallelogram.

Answer 1

Answer:

The four angles of parallelogram is 72°, 72° & 108°, 108°

Step-by-step explanation:

Hey Mate,

We know,

The sum of adjacent sides of parallelogram is 180°

So ,

Let the adjacent angle be X .

x + (2x - 36) = 180°

3x = 180°+36°

3x = 216°

x = 216/3

x = 72°

If one angle is of 72° then the another angle is (180 - 72) = 108°

So, The four angles of parallelogram is 72°, 72° & 108°, 108°

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 .