Answer
∠1 + ∠2 = ∠3 + ∠4
HENCE PROVED
Work Step by Step
$\angle$RWV= $\angle$SWT (VERTICALLY OPPOSITE ANGLES ARE EQUAL)
BY USING SUM OF ANGLES OF A TRIANGLE =$180^{\circ}
\triangle$RWV = $\angle$1 + $\angle$2 + $\angle$RWV =180 ......(1) $\triangle$TWS = $\angle$3 + $\angle$4 + $\angle$SWT =180 .....(2) BY COMPARING 1 AND 2 $\angle$1 + $\angle$2 + $\angle$RWV = $\angle$3 +$ \angle$4 + $\angle$SWT SINCE $\angle$RWV= $\angle$SWT $\angle$1 + $\angle$2 = $\angle$3 + $ \angle$4 HENCE PROVED
