Question

If an angle of a parallelogram is half of its adjacent angle, find the angles of the parallelogram.​

Answer 1

Answer:

let one angle be x

other angle will be x/2

opposite angles of a parallelogram are equal

2×{x+x/2)=360

x=120

one angle is 120

other is 60

Answer 2

$\underline{\underline{\mathfrak{\large{Solution:-}}}}$

$\bf{\blue{Let \:the \:angle\: be \:x}}$

Since it is half of the adjacent angle, said adjacent angle will be 2x.

Since adjacent angle of a parallelogram and supplementry.

$\bf{\red{x+ 2x = 180°}}$

$\bf{\green{3x = 180°}}$

$\bf{\purple{x = 60°}}$

$\bf{\orange{Let\: other \:angle\: be\: \frac{x}{2} }}$

Opposite angle of a parallelogram are equal.

$\bf{\red{2 ( x+ \frac{x}{2} = 360) }}$

$\bf{\green{ 3x = 360°}}$

$\bf {\purple{x = 120°}}$

$\sf{One \: angle\: is\: 60°}$

$\sf{Other\: angle\: is \:120°}$