In a geometry class, Julian is asked to draw a convex octagon. He draws a closed figure with eight sides. The sides are not equal in length. The greatest interior angle measure is 170°, and the least interior angle measure is 65°.

Which statement about the figure Julian draws is true?

He draws a correct figure because it is a regular polygon.

He draws a correct figure because no interior angle measures more than a straight angle.

He draws an incorrect figure because the sides are not equal in length.

He draws an incorrect figure because an interior angle measures more

Question

In a geometry class, Julian is asked to draw a convex octagon. He draws a closed figure with eight sides. The sides are not equal in length.  The greatest interior angle measure is 170°, and the least interior angle measure is 65°.  
 
Which statement about the figure Julian draws is true?

 He draws a correct figure because it is a regular polygon.

 He draws a correct figure because no interior angle measures more than a straight angle.

 He draws an incorrect figure because the sides are not equal in length.

 He draws an incorrect figure because an interior angle measures more

anonymous · Answer

A convex octagon has all angles pointing inwards, i.e. no internal angle is greater than 180 degrees otherwise it would be a concave octagon. 

In the given problem, the largest angle is 170° and smallest is 65° which implies that no internal angles are greater than 180°. Therefore, he draws a correct figure because no interior angle measures more than a straight angle.

@ibreezysaan

anonymous · Answer

Thank you so much! <3 I understand it a lot more now! :)