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A "benchmark angle" is a simple one like 45, 90, 180 degrees.
I think this question is about a diagram which I don't see. As a matter of fact, the Answers.com browser makes it impossible to draw diagrams . . . the best we can do is to describe the diagram in words. e.g. "In isosceles triangle ABC, A is the vertex and D is the midpoint of BC. If angle B is 50 degrees, what is the measure of angle BAD?
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How can benchmark angles could be used to make accurate estimates of angle measures?
They can make accurate estimates by looking at an angle and understanding where about where others are. Example if you needed to guess where 40 degrees is you sketch a 90 angle and cut in half and that is 45 degrees so that is close.
If angles are supplementary then one of the angles is an obtuse angle?
No. Both could be right angles.
Describe how you could find the angle sum of a regular polygon that has N sides?
Interior angles of any polygon: (N-2)*180 = sum of interior angles when N is the number of sides
All angles in a scalene triangle are acute?
A scalene triangle could have three acute angles, one right angle and two acute angles, or one obtuse angle and two acute angles.
Has an isosceles triangle have an obtuse angle?
Not necessarily. The two equal angles in an isosceles triangle must both be acute angles. If they were right angles or obtuse angles then a triangle could not be formed. If the two equal angles are less than 45° each then the third angle is an obtuse angle. If they are both 45° then the third angle is a right angle and if they are both greater than 45° then the third angle is an acute angle.
