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How can you use the fact that the sum of the angles on a straight line is 180 to explain why the angle at a point are 360?
Wiki User
∙ 12y ago
Draw any straight line through the point.
The sum of the angles at the point are the sums of the angles on each side of the line - which are known to be 180o.
Thus:
the sum of the angles at the point = the sum of the angles of each side of the line
= 180o + 180o
= 360o
The sum of the a
Wiki User
∙ 12y ago
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How do you draw angle 112.5 using ruler and compass?
You need to know how to bisect an angle:Open your compasses to some (shortish) length;with the point of the compasses on the point of the angle draw an arc on each arm of the angle;extend the compasses to a longer length.with the point of the compasses on each point where the arcs intersect the arms, draw two further arcs (away from the point of the angle) between the arms of the angle so that they cross;using the rule draw a straight line from the point of the angle to the point where the last two arcs drawn cross.Now to create your 112.5o angle:Draw a straight line and mark a point near the middle. This is the point of your angle; call it OBisect the 180o angle at O (one side of the straight line), creating two 90o angles. (This is usually called creating the perpendicular to the line at point O.)Bisect one of the 90o angles, creating two 45o angles.On the opposite side to the angle bisected in step 2 is another 180o angle; to this add the 45o angle next to the original straight line. This creates a 225o angle.Bisect the angle found in step 4, creating the required 112.5o angle.After step 4 you should have something like this:. . . . . . . . . . . .B. . . . . . | . . . . / .. . . . . . | . . . / . .. . . . . . | . . / . . .. . . . . . | . / . . . .. . . . . . | / . . . . .A------+--------. . . . . .O . . . . . .reflex angle ∠AOB is the 225o angle to bisect in step 5 to create your 112.5o angle.
What is the name of the point where the sides of an angle intersect?
Exterior angles
Lines that form right angles at their point of intersections?
a quadrilateral where each angle is a right angle
There are 3 angles about a point. Two of the angles are 85 degrees and 190 degrees. What is the third angle?
360 - 85 - 190 = 85 85 degrees is the third angle
A of a segment is the point that divides the segment into two congruent segments?
A midpoint is a point that divides a segment into two congruent segments. A angle bisector is a ray that divides an angle into two congruent angles.
What is angles in trigonometry?
An angle comprises two straight line segments or rays together with the point at which they meet.
Who are angles?
An angle is the measurement between two lines that share a point. A right angle, which consists perpendicular lines, is exactly 90 degrees. A straight line is 180 degrees (two right angles combined).
What kind of angle is the point where two straight lines or line segments meet to from a angle?
straight angle
What is the vertex on a straight angle?
It is a point
How do you work out the exterior angle of a triangle?
Interior and adjacent exterior angles form a straight line so exterior angle = 180 - interior angle. If you are satisfied with this reply please consider awarding a Recommended Point to the responder.
How do you draw angle 112.5 using ruler and compass?
You need to know how to bisect an angle:Open your compasses to some (shortish) length;with the point of the compasses on the point of the angle draw an arc on each arm of the angle;extend the compasses to a longer length.with the point of the compasses on each point where the arcs intersect the arms, draw two further arcs (away from the point of the angle) between the arms of the angle so that they cross;using the rule draw a straight line from the point of the angle to the point where the last two arcs drawn cross.Now to create your 112.5o angle:Draw a straight line and mark a point near the middle. This is the point of your angle; call it OBisect the 180o angle at O (one side of the straight line), creating two 90o angles. (This is usually called creating the perpendicular to the line at point O.)Bisect one of the 90o angles, creating two 45o angles.On the opposite side to the angle bisected in step 2 is another 180o angle; to this add the 45o angle next to the original straight line. This creates a 225o angle.Bisect the angle found in step 4, creating the required 112.5o angle.After step 4 you should have something like this:. . . . . . . . . . . .B. . . . . . | . . . . / .. . . . . . | . . . / . .. . . . . . | . . / . . .. . . . . . | . / . . . .. . . . . . | / . . . . .A------+--------. . . . . .O . . . . . .reflex angle ∠AOB is the 225o angle to bisect in step 5 to create your 112.5o angle.
What is a supplementary adjacent angle formed by two intersecting angles?
........................Point D.........................../.........angle BED / angle AEDPoint B -----------E------------- Point A.......angle BEC / angle AEC......................./..................Point CAssuming you mean: ...formed by intersecting lines, then this is what it means:Line DC intersects line AB at point E, Splitting Angle AEB into separate angles. Angle AEB is 180o. When you add the angles of BEC and AEC, they total 180o. The same works with any two adjacent angles - angles that are next to each other. Two angles that form 180o when added are called supplementary Therefor, angles BEC and AEC are Supplementary and adjacentHad some formatting problems!
Is interior angle angle sum?
No. An interior angle is one of many angles in the interior of a closed shape - usually a polygon. The angle sum is the sum of the values of a specified list of angles. They may be angles around a point, angles in one or more shapes.
How do you draw a parallelogram with right angles?
A parallelogram with right angles is a rectangle.---------------------------------To construct a right angle using a straight edge and a pair of compasses:Draw the first lineExtend the first line beyond the point where the right angle is required (call this point O).With the point of the compasses on the point where the right angle is to be constructed draw a small arc on the straight line either side of point O; call the points where these arcs cross the straight line as A and B.Open the compasses to a larger widthWith the point of the compasses on one of points A and b (say A) draw one arc above the line roughly in the middle between points A and B (above point O).With the point of the compasses on the point of A and B (say B) draw an arc to intersect the last arc just drawn (above point O); call this point CUsing the straight edge, join point O to point C, forming a right angle.rub out the extended bit of the line beyond point O that was used to construct the right angle.
What is the name of the point where the sides of an angle intersect?
Exterior angles
Why circles has no angles and edges?
A circle has no angles because its circumference is a path tyraced put by a point moving at a constant distance from the centre, and an angle is defined as the junction of two straight lines. A circle has one edge - its circumference.
What is the total interior angle of a point?
A point has no interior and so cannot have interior angles.
