MCQ
In Quadrilateral $ABCD$, $\angle\text{A} = 110^\circ, \ \angle\text{B} = 75^\circ$ and $\angle\text{C} = 35^\circ.$ Find $\angle\text{D}=\ ?$
  • A
    $50^\circ$
  • B
    $145^\circ$
  • C
    $110^\circ$
  • $140^\circ$

Answer

Correct option: D.
$140^\circ$

$\angle\text{A} + \angle\text{B} + \angle\text{C} + \angle\text{D} = 360^\circ$ (angle sum property of quadrilateral).
$110 + 75^\circ + 35^\circ + \angle\text{D} = 360^\circ$
$\angle\text{D} = 360^\circ - 220^\circ = 140^\circ$

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