2017 · Q84
A closed polygon has six sides and one of its angles is 30° greater than each of the other five equal angles. What is the value of one of the equal angles ?
Elementary MathematicsQuadrilaterals and Polygons
- A55°
- B115°
- C150°
- D175°
Explanation
Interior-angle sum of a hexagon = (6−2)×180° = 720°. With five equal angles x and one angle x+30: 6x+30 = 720, so x = 115°. Hence option (B) 115°.