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 More
Use 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.
The common endpoint of the sides of an angle is called a vertex. For example, triangles have three vertices, while squares have four. These common endpoints are often colloquially called corner points, though this may result in confusing them with angles.Full Answer >
A protractor is an inexpensive math tool used to measure the sharpness of an angle in a geometric shape. Reading a protractor is fairly simple.Full Answer >
An acute angle is any angle with a measure of less than 90 degrees. Obtuse angles measure more than 90 degrees, and right angles measure exactly 90 degrees.Full Answer >
An angular unconformity is a geological phenomenon where an older layer of rock sits directly beneath a much younger layer of rock because the older layer was forced up at an angle, eroded, and younger rock deposited on top of it. An angular unconformity only stays constant for a relatively short distance into a rock face. Digging horizontally into the older rock reveals younger angled layers.Full Answer >