Question

One of the angles of a parallelogram is half the other angle. Find all the angles of the parallelogram​

Answer 1

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.

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

$\bf{\green{ 3x = 360°}}$

$\bf {\purple{x = 120°}}$

$\sf{One \: angle\: is\: 60°}$

$\sf{Other\: angle\: is \:120°}$

Answer 2

Answer:

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