Question

find ( mangle s ) in rhombus ( qrst ).
( mangle s = square^circ )

Explanation:

Step1: Adjacent rhombus angles are supplementary

$(2y-48^\circ)+(3y-32^\circ)=180^\circ$

Step2: Simplify to solve for $y$

$5y - 80^\circ=180^\circ$
$5y=260^\circ$
$y=52^\circ$

Step3: Substitute $y$ into $\angle S$ expression

$m\angle S=3(52^\circ)-32^\circ$

Answer:

$124^\circ$