Construct a 135-degree angle by first constructing a 90-degree angle. Construct an angle bisector for one side of the right angle. The angle addition theorem allows addition of the resulting 90-degree and 45-degree angles to create the required angle. The construction takes a few minutes using ruler and compass.
Know MoreUse the ruler to draw a line-segment. Label the line-segment with X and Y at its endpoints
Set the compass to a convenient length. Place the point of the compass on point x and draw an arc that cuts through line-segment XY at a new point, P. Keep the point of the compass on point X and draw an arc above the line. Move the point of the compass to point P and draw an arc intersecting the first arc. Label the intersecting point as Z. Connect X to Z and extend the line to create a right angle.
Use the ruler to extend the line segment the opposite direction from Y. Label the new endpoint.
Place the point of the compass on point X and draw arcs to intersect line-segments XY and XT. Label these intersections as A and B. Place the point of the compass at point A. Draw a new arc near the center of angle TXZ. Repeat with point B. Label this intersection point F. Draw a line segment from X to F and extend the line. Angle FXY is the required 135-degree angle.
A vertex angle refers to the angle that is formed by the two lines crossing at a vertex. When asked for a vertex angle, the intended query is typically for the size of the angle in degrees or radians.
Full Answer >A figure formed by two rays meeting at a common endpoint is called an angle. The endpoint where the two rays meet is called the vertex. Angles are usually measured in degrees or radians.
Full Answer >A symmetrical pattern is a pattern in which converging lines form an angle that somewhat resembles an acute angle. When two patterns are symmetrical, one becomes exactly like another when flipped or turned, according to Primary Resources.
Full Answer >To find the area of a sector, divide the angle of the sector by 360 degrees, then multiply the answer by pi and the square of the radius. You need to know the angle and radius of the circle. A ruler, a calculator and a protractor are helpful in this task.
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