Question

A living room is shaped like a pentagon. A carpenter wants to put a triangular shelf in the corner marked on the diagram. The sum of the interior angles of a pentagon is 540°. Which statement is correct?

a.) The shelf angle is too small because the corner is more than 70°.
b.) The shelf angle is too big because the corner is less than 70°.
c.) The shelf will fit exactly because the corner is 70°.
d.) It cannot be determined if the shelf will fit in the corner.

Answer 1

The corner is 60°, and based on the information given it is D...but if you can measure the angle, it would be B... A and C assume different sizes.