Angle Relationships - Kuta Software - Free Printable

I'll solve this worksheet on angle relationships by identifying each pair of angles as either complementary, supplementary, vertical, or adjacent for problems 1-6, and alternate interior, corresponding, or alternate exterior for problems 7-10.

Let me start by examining each problem one by one.

Problem 1:
Looking at the first diagram, I can see two angles labeled 'a' and 'b' that form a straight line. When two angles form a straight line, they are supplementary (adding up to 180°).

Problem 2:
In the second diagram, angles 'a' and 'b' are next to each other, sharing a common vertex and side. These are adjacent angles.

Problem 3:
The third diagram shows two intersecting lines with angles 'a' and 'b' opposite each other. These are vertical angles.

Problem 4:
In the fourth diagram, angles 'a' and 'b' are next to each other, sharing a common vertex and side. These are adjacent angles.

Problem 5:
The fifth diagram shows angles 'a' and 'b' that together form a right angle (90°). These are complementary angles.

Problem 6:
In the sixth diagram, angles 'a' and 'b' are next to each other, sharing a common vertex and side. These are adjacent angles.

Problem 7:
For the seventh diagram, I need to identify the relationship between angles 'a' and 'b'. This appears to be a transversal cutting through two parallel lines. Angle 'a' is inside the parallel lines and on one side of the transversal, while angle 'b' is inside the parallel lines and on the opposite side of the transversal. These are alternate interior angles.

Problem 8:
In the eighth diagram, angles 'a' and 'b' are on the same side of the transversal and in corresponding positions relative to the parallel lines. These are corresponding angles.

Problem 9:
For the ninth diagram, angles 'a' and 'b' are outside the parallel lines and on opposite sides of the transversal. These are alternate exterior angles.

Problem 10:
In the tenth diagram, angles 'a' and 'b' are outside the parallel lines and on the same side of the transversal. These are corresponding angles.

Now let me provide the complete solution:

Answers:

1) Supplementary
2) Adjacent
3) Vertical
4) Adjacent
5) Complementary
6) Adjacent
7) Alternate Interior
8) Corresponding
9) Alternate Exterior
10) Corresponding

This completes the worksheet on angle relationships.