is a point on line segment . is a line segment. Select all the equations that represent the relationship between the measures of the angles in the figure.

Segments , , and intersect at point , and angle is a right angle. Find the value of .

Use the diagram to find the measure of each angle.

1. angle 
2. angle 
3. angle 

A horizontal line and a line that slopes downward from left to right. The lines intersect at a point labeled B. On the horizontal line, point E is to the left of B and C is to the right of B. On the sloping line, point A is above B and point D is below B. Angle C B D is labeled 45 degrees.

Lines and are parallel, and the measure of angle is .

Two parallel lines, k and l, cut by transversal line m. Points F, C and D are on line k. Points A and B are on line l. Points E, C and B are on transversal m. Angle E C F is marked congruent to angle D C B and to angle A B C. 

1. Explain why the measure of angle is . If you get stuck, consider translating line  by moving to .
2. What is the measure of angle ? Explain.

The diagram shows three lines with some marked angle measures:

Two lines that do not intersect. A third line intersects with both lines. At the first intersection, angles are marked starting at the top right and going in the clockwise direction, 70 degrees, question mark, question mark, question mark. At the second intersection, angles are marked starting at the top right and going in the clockwise direction, 53 degrees, question mark, question mark, question mark.

Find the missing angle measures marked with question marks.

Lines and are parallel. Find the value of . Explain your reasoning.