Geometry and TrigonometryVery hardEqual angles in a pentagon
Geometry and Trigonometry practice question
Three angles of a pentagon measure 100°, 110°, and 120°. The other two angles are equal to each other. What is the measure, in degrees, of each of the two equal angles?
Answer: 105
A pentagon's angles sum to (5 − 2) × 180 = 540. The three given angles total 330, leaving 210 for the two equal angles: 105 each.
Common wrong answers
- If you answered 15
- 15 uses an angle sum of 360, as for a quadrilateral.
- If you answered 75
- 75 uses an angle sum of 480.
- If you answered 210
- 210 is the total of the two equal angles.
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