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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.
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
How do you know the angles of triangles?
I could use a protractor to measure the angles. You can also interpret whether the angle's acute,obtuse,or a right angle
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.
Does a parallelogram have reflex angle?
No. In a parallelogram, adjacent angles are supplementary (they add up to 180°). A reflex angle is between 180° and 360°. So if one of the angles could be greater than 180°, then the adjacent angle would have to be negative, or else it is not a parallelogram. * * * * * All the EXTERNAL angles of a parallelogram are reflex angles!
In a quadrilateral, three of the angles are obtuse. Which of the following could not be the angle measure of the fourth angle60°90°40°20°?
In a quadrilateral, three of the angles are obtuse. Which of the following could not be the angle measure of the fourth angle? 60° 90° 40° 20°
How many angles can you find in the word JOY?
Angles around the circle O add up to 360 degrees Angles in Y are 2 of them are obtuse angles and 1 is an acute angle and the 3 of them add up to 360 degrees Angle in J could be a right angle
How do you find the size of an angle without using a protractor?
If the angle is a lone, random angle, I believe you would need a protractor to determine the precise size of the angle (in "degrees"). However, you could, in this case, roughly guess as to whether the angle is acute, obtuse, or right (if the little rectangle is shown in the angle). Of course, if an angle is in a position where one can determine its measure using known postulates or theorems, finding the size of this angle becomes much easier. For example, if you know the measure of one angle and you must determine the measure of another angle, but these two angles are vertical angles, or are corresponding angles (by the corresponding angles postulate), you can indeed determine the measure of this angle without a protractor. Additionally, another example is that if you knew a pair of angles were either supplementary angles, complementary angles, or a linear pair, and you were given the measure of one of these angles, you could determine the measure of the other angle without a protractor. Therefore, it depends on the angle you're looking at.
What figure has only one pair of parallel sides and exactly have two right angles?
It could be a trapezoid providing that the other two angles are an acute angle and an obtuse angle
How could you describe the angles made by the two braces that meet in the middle of the kite?
They make right angles.
