16Hit1600
Geometry and TrigonometryEasyFourth angle of a quadrilateral

Geometry and Trigonometry practice question

Three of the interior angles of a quadrilateral measure 80°, 95° and 110°. What is the measure, in degrees, of the fourth angle?

Answer: 75

A quadrilateral's interior angles add to 360°: 360 − 80 − 95 − 110 = 75.

Common wrong answers

If you answered 95
95 is one of the given angles.
If you answered 285
285 is the sum of the three known angles, not the fourth.
If you answered -105
−105 is 180 − 285, using a triangle's total of 180. A quadrilateral's angles add to 360.

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