Question

two adjacent angles of a parallelogram are in the ratio 4 is to 5 find the measure of each of the angle.

Answer 1

Solution is in the pic

Answer 2

$\boxed{\boxed{\boxed{\bold{\red{Solution :\longrightarrow}}}}}$

$\bold{Let \: \: ABCD \: \: be \: \: the \: \: || gm.}$
$\bold{And \: \: ∠A \: \: and \: \: ∠ B \: \: are \: \: its} \\ \bold{adjacent \: \: angles.}$

$\bold{Let \: \: ∠ A = 4x \: \: and \: \: ∠ B = 5x}$

$\bold{We \: \: know \: \: know \: \: adjacent \: \: angles}$
$\bold{of \: \: || gm \: \: is \: \: 180° }\:$

$\bold{ = > \: \: ∠ A \: + ∠B = 180°} \\ \\ \bold{= > 4x + 5x = 180°} \\ \\ \bold{= > 9x = 180°}$

$\bold{ = > x = \frac{180°}{9} }\\ \\ \bold{= > x = 20°}$

$\bold{Therefore, \: \: ∠ A = 4x = 4 \times 20° = 80° }\\ \\ \bold{and} \: \: \bold{∠ B = 5x = 5 \times 20° = 100°}$

$\bold{Since \: \: opposite \: \: angles \: \: of \: \: || gm} \\ \bold{are \: \: equal.}$

$\bold{ ∠ A = \: ∠ C = 80° }\\ \\ \bold{∠ B = \:∠ D = 100°}$

$\boxed{\boxed{\boxed{\bold{\blue{Have \: \: a \: \: nice \: \: day.}}}}}$