A student creates a challenge for his friend. He first draws a square, the adds the line for each of the 2 diagonals. Finally, he asks his friend to draw the circle that has the most intersections possible.

How many intersections will this circle have?

Angle measures

is the bisector of

is the bisector of

What is the measure of ?

If measures , which of the following is equivalent to the measure of the supplement of ?

In the diagram, AB || CD. What is the value of a+b?

Assume l and m are parallel horizontal lines where l is above m. A third straight line k intersects both lines l and m, creating a total of 4 different angles on each of the two intersections. The intersections of lines l and m contain angles a, b, c, d and w, x, y, z, respectively. The angle layouts start with a and w in the top left position with the other angles following in alphabetical order in the clockwise direction. What is the degree value of angle z if angle c has a value of 67 degrees?

In the following diagram, lines and are parallel to each other. What is the value for ?

Figure not drawn to scale.

In the figure above, APB forms a straight line. If the measure of angle APC is eighty-one degrees larger than the measure of angle DPB, and the measures of angles CPD and DPB are equal, then what is the measure, in degrees, of angle CPB?

Two pairs of parallel lines intersect:

If A = 135o, what is 2*|B-C| = ?

Lines and are parallel. , , is a right triangle, and has a length of 10. What is the length of

The measure of the supplement of angle A is 40 degrees larger than twice the measure of the complement of angle A. What is the sum, in degrees, of the measures of the supplement and complement of angle A?