Common Core HSG.CO.C.9 worksheet

Question 1

A line crosses two parallel lines. Angle p and an angle of 94° are between the parallel lines, on the same side of the crossing line (a C shape). Which reason should go with the step that finds p?

• A. Vertically opposite angles are equal
• B. Co-interior angles add up to 180°
• C. Angles on a straight line add up to 180°
• D. Corresponding angles are equal

Question 2

Two straight lines cross. Angle p is vertically opposite an angle of 93°. Find p in degrees.

Answer 

Question 3

A line crosses two parallel lines. Angle p and an angle of 84° are between the parallel lines, on the same side of the crossing line (a C shape). Which reason should go with the step that finds p?

• A. Angles around a point add up to 360°
• B. Corresponding angles are equal
• C. Angles on a straight line add up to 180°
• D. Co-interior angles add up to 180°

Question 4

Angle p and an angle of 97° are co-interior angles between parallel lines. Find p in degrees.

Answer 

Question 5

Angle p and an angle of 35° sit side by side and together make a straight line. Which reason should go with the step that finds p?

• A. Angles around a point add up to 360°
• B. Angles on a straight line add up to 180°
• C. Co-interior angles add up to 180°
• D. Vertically opposite angles are equal

Question 6

Angle p and an angle of 139° are corresponding angles on parallel lines. Find p in degrees.

Answer 

Question 7

A line crosses two parallel lines. Angle p and an angle of 132° are between the parallel lines, on the same side of the crossing line (a C shape). Which reason should go with the step that finds p?

• A. Co-interior angles add up to 180°
• B. Alternate angles are equal
• C. Angles on a straight line add up to 180°
• D. Corresponding angles are equal

Question 8

Angle p and an angle of 80° are alternate angles between parallel lines. Find p in degrees.

Answer 

Question 9

Angle p and two other angles of 111° and 111° fill the space all the way round a point. Which reason should go with the step that finds p?

• A. Corresponding angles are equal
• B. Vertically opposite angles are equal
• C. Angles around a point add up to 360°
• D. Co-interior angles add up to 180°

Question 10

Angle p and an angle of 41° are alternate angles between parallel lines. Find p in degrees.

Answer 

Question 11

Angle p and two other angles of 138° and 138° fill the space all the way round a point. Which reason should go with the step that finds p?

• A. Vertically opposite angles are equal
• B. Alternate angles are equal
• C. Corresponding angles are equal
• D. Angles around a point add up to 360°