Question

adjacent angles of parallelogram are of measure 2x and 7x then find the value of x​

Answer 1

$\textbf{Given:}$

$\textsf{2x and 7x are adjacent angles of a parallelogram}$

$\textbf{To find:}$

$\textsf{The value of x}$

$\textbf{Solution:}$

$\underline{\textsf{Concept used:}}$

$\boxed{\textsf{Adjacent angles of a parallelogram are supplementary}}$

$\textsf{By properties of parallelogram,}$

$\mathsf{2x+7x=180^\circ}$

$\mathsf{9x=180^\circ}$

$\mathsf{x=\dfrac{180^\circ}{9}}$

$\implies\boxed{\mathsf{x=20^\circ}}$