Question

The adjacent angles of a parallelogram are in the ratio 2:3. find the measure of all its angles.

Answer 1

we know that sum of adjacent angles in parallelogram is 180 degree.
So 2 angles will equal to 72 degree and 108 degree.Other 2 angles will also be 72 and 108 degree as in parallelogram opposite angles are equal.

Answer 2

$\huge\fbox{\underline{\underline\orange{Answer}}:-}$

Suppose $∠A= 2x$

And ,

$∠B = 3x$

Since $∠A~and~∠B$ are a pair of adjacent interior angles and AD || BC .

•°• $∠A + ∠B = 180°~ or ~ 2x + 3x = 180°$

$⟹ 5x = 180°$

$⟹ x = \frac{180}{5} = 36°$

•°• $∠A = 72°~and~∠B = 180°$

Again , since opposite angles of a ||gm are equal , •°• ∠C = ∠A = 72°

and

∠D = ∠B = 108°

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