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
Exterior angles
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.
360 - 85 - 190 = 85 85 degrees is the third angle
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.
Two lines that form a right angle at their point of intersection is called perpendicular lines.
An angle comprises two straight line segments or rays together with the point at which they meet.
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).
straight angle
It is a point
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.
Exterior angles
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.
........................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!
A point has no interior and so cannot have interior angles.
a quadrilateral where each angle is a right angle
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.
No, but the can be adjacent angles. It is mathematically valid even though it serves no point.