Mastering Corresponding Angles: Identify & Calculate

1. Two parallel streets are crossed by a transversal. If one of the corresponding angles measures 75 degrees, what is the measure of the angle on the opposite side of the transversal?

• 45 degrees

• 60 degrees

• 75 degrees

• 90 degrees

2. A ladder leans against a wall, forming a corresponding angle with the ground. If the angle between the ladder and the ground is 60 degrees, what is the measure of the corresponding angle formed with the wall?

• 90 degrees

• 30 degrees

• 15 degrees

• 45 degrees

3. In a park, two paths run parallel to each other, and a third path crosses them. If one of the corresponding angles formed is 45 degrees, what is the measure of the angle on the other side of the transversal?

• 60 degrees

• 90 degrees

• 45 degrees

• 30 degrees

4. A pair of parallel lines is cut by a transversal, creating several angles. If one angle measures 120 degrees, what is the measure of its corresponding angle?

• 150 degrees

• 120 degrees

• 90 degrees

• 60 degrees

5. During a construction project, two beams are installed parallel to each other. If one beam makes a corresponding angle of 30 degrees with a support cable, what is the angle made by the other beam with the same cable?

• 30 degrees

• 90 degrees

• 60 degrees

• 45 degrees

6. A designer is creating a triangular garden with one angle measuring 50 degrees. If the garden is designed to have corresponding angles with a fence, what will be the measure of the corresponding angle on the opposite side?

• 70 degrees

• 90 degrees

• 50 degrees

• 30 degrees

7. In a classroom, two rows of desks are arranged parallel to each other. If a student measures an angle of 70 degrees between a desk and the wall, what is the measure of the corresponding angle formed with the opposite wall?

• 80 degrees

• 60 degrees

• 70 degrees

• 90 degrees

8. A road sign is placed at an angle of 85 degrees to the ground. If the sign is parallel to another sign across the street, what is the measure of the corresponding angle formed with the ground?

• 60 degrees

• 85 degrees

• 75 degrees

• 90 degrees

9. A pair of parallel lines is intersected by a transversal, creating angles of 110 degrees and x degrees. What is the value of x if it is a corresponding angle?

• 90 degrees

• 110 degrees

• 120 degrees

• 130 degrees

10. In a sports field, two lines are marked parallel to each other. If one angle formed by a transversal is 25 degrees, what is the measure of the corresponding angle on the other side of the transversal?

• 25 degrees

• 15 degrees

• 45 degrees

• 30 degrees