Question

In equilateral quadrilateral , obtuse angle is 20 bigger than three the acute angle,so find the measure of each angle​

Answer 1

$\text{Let ABCD be the given equilateral quadrilatral}$

$\textbf{Given:}$

$\angle{B}=3\;\angle{A}$

$\textsf{We know that, the adjacent angles of a }$

$\textsf{equilateral quadrilateral are supplementary}$

$\implies\angle{A}+\angle{B}=180^{\circ}$

$\implies\angle{A}+3\angle{A}=180^{\circ}$

$\implies\;4\angle{A}=180^{\circ}$

$\implies\bf\angle{A}=45^{\circ}$

$\bf\angle{B}=135^{\circ}$

$\bf\angle{C}=45^{\circ}$

$\bf\angle{D}=135^{\circ}$