Question
Find $x + y + z + w.$
✓
Answer
By angle sum property of a quadrilateral.
$180^\circ - x + 180^\circ - y + 180^\circ - z + 180^\circ - w = 360^\circ $
$-x -y -z -w =360^\circ -180^\circ -180^\circ -180^\circ -180^\circ $
$-x -y -z -w = - 360^\circ $
Multiplying $-1$ to both sides we get,
$\therefore x + y + z + w = 360^\circ .$
$180^\circ - x + 180^\circ - y + 180^\circ - z + 180^\circ - w = 360^\circ $
$-x -y -z -w =360^\circ -180^\circ -180^\circ -180^\circ -180^\circ $
$-x -y -z -w = - 360^\circ $
Multiplying $-1$ to both sides we get,
$\therefore x + y + z + w = 360^\circ .$
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