Question

If an angle of a parallelogram is seven - eleventh of its adjacent angle, the smallest angle of the parallelogram is​

Answer 1

Answer:

$\rm \: in \: this \: figure$

$\sf{ \angle(4x + 60) \degree \: and \: \angle (x + 20) \degree} \sf \: are \: in \: \\ \sf \: liner \: pair$

$\sf \therefore (4x + 60) + (x + 20) = 180$

$\rm \: Reason - \green{\boxed{ \sf \: angles \: in \: linear \: pair \: are \: supplementry}}$

$\sf \implies \: 5x + 80 = 180$

$\sf \implies \: 5x = 180 - 80$

$\sf \implies \: 5x = 100$

$\sf \implies \: x = \frac { \cancel{100}}{ \cancel{5}}$

$\sf \implies \underline{\boxed{x = 20}}$

Answer 2

Answer:

Answer:

\rm \: in \: this \: figureinthisfigure

\begin{gathered} \sf{ \angle(4x + 60) \degree \: and \: \angle (x + 20) \degree} \sf \: are \: in \: \\ \sf \: liner \: pair\end{gathered}∠(4x+60)°and∠(x+20)°areinlinerpair

\begin{gathered} \sf \therefore (4x + 60) + (x + 20) = 180 \\ \end{gathered}∴(4x+60)+(x+20)=180

\rm \: Reason - \green{\boxed{ \sf \: angles \: in \: linear \: pair \: are \: supplementry}}Reason−anglesinlinearpairaresupplementry

\begin{gathered} \sf \implies \: 5x + 80 = 180 \\ \end{gathered}⟹5x+80=180

\begin{gathered} \sf \implies \: 5x = 180 - 80\\ \end{gathered}⟹5x=180−80

\begin{gathered} \sf \implies \: 5x = 100\\ \end{gathered}⟹5x=100

\begin{gathered} \sf \implies \: x = \frac { \cancel{100}}{ \cancel{5}}\\ \end{gathered}⟹x=5100

\begin{gathered} \sf \implies \underline{\boxed{x = 20}}\\ \end{gathered}⟹x=20

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