Question

The measures of two adjacent angles of a parallelogram are in the ratio 5 : 4. The measure of each of the angles of the parallelogram is respectively​

Answer 1

        $\text{\huge \bf \underline{Answer:}}$

        $\text{It is given that two adjacent angles of a parrallelogram}\\\text{are in the ratio }5:4$

        $\text{Let the common factor be }x$

$\implies \text{The two adjacent angles are }5x \text{ and }4x$

        $\text{We know that, adjacent angles of a parallelogram}\\\text{sum upto }180^{\circ}$

$\implies \: 5x + 4x = 180$

$\implies \: 9x = 180$

$\implies \: x = \dfrac{180}{9}$

$\implies \: x = 20^{\circ}$

$\implies \text{The two adjacent angles are:}$

        $\boxed{\boxed{5x = 5(20) = 100^{\circ}}}$

        $\boxed{\boxed{4x = 4(20) = 80^{\circ} }}$