- Six diagonals can be drawn from vertex O: OH, OI, OJ, OK,
OL, and OM. - 1260°. Six diagonals can be drawn from vertex O, so there are
seven triangles created. Therefore, the sum of the interior angles
of this 9-sided polygon is 180(7) = 1260°.
Set 49
- Adjacent sides.Draw polygon CDEFG to see that yes, CDand
DEare next to each other and share an angle. - Diagonals.When a line segment connects non-adjacent endpoints
in a polygon, it is a diagonal. - ∠∠GFE or ∠∠F.
- Adjacent angles.Look back at the drawing you made of polygon
CDEFG. You can see that ∠E and ∠F are next to one another,
separated only by one side of the polygon.
Set 50
For solutions to 240 and 241, refer to image below.
- At any one time, three triangles can be drawn in polygon
BCDFG.This is because only two non-overlapping diagonals can
be drawn in the polygon. Remember when drawing your triangles
that a diagonal must go from endpoint to endpoint. - The interior angles of a convex pentagon will always measure
540° together. If the interior angles of a triangle measure 180°
together, then three sets of interior angles measure 180°×3, or
BCDF
G501 Geometry Questions