Question

in a parallelogram one angle is three times its adjacent angle find all the angle of the parallelogram

Answer 1

in a parallelogram, a adjacent angles add up to 180°

let the angle in question be x
x = 3 * adjacent angle
adjacent angle = x/3
x+x/3 = 180°
4x/3 = 180°
4x = 540°
x = 135°

Answer 2

$\huge{HELLO!}$➖➖➖➖➖

We know that , the adjacent angles of a parallelogram are supplementary, i.e, their sum is 180° .

According to the question,
Given,
One angle is three times the other,
So, let one angle be x, and another angle be 3x.

Therefore,

$x + 3x = {180}^{o}$

$= > 4x = {180}^{o}$

$= > x = {45}^{o}$

therefore, the angle = 45°

another angle = 45° × 3 =135°

Since, opposite angles of a parallelogram are equal,

Therefore, the other angles of the parallelogram would also be ------

45° and 135° each.

$\huge{BE\:BRAINLY}$