A garden has a boundary in the shape of a convex polygon. A surveyor measures two interior angles as

Question

A garden has a boundary in the shape of a convex polygon. A surveyor measures two interior angles as $95^\circ$ and $145^\circ$. The remaining interior angles have an average size of $132^\circ$.
By forming an equation, find the number of sides of the garden.[3]

Accepted Answer

The garden has $7$ sides.

Polygons - Interior and Exterior Angles of Polygons

Polygons - Interior and Exterior Angles of Polygons

Solution:

Solution locked