Question

match the following
∠1 and ∠7
∠1 and ∠4
∠3 and ∠5
∠5 and ∠4
vertical angles
consecutive exterior angles
consecutive interior angles
alternate interior angles

Explanation:

Step1: Recall Angle Types

• Vertical Angles: Opposite angles formed by intersecting lines (equal).
• Consecutive Exterior Angles: Outside, same - side of transversal.
• Consecutive Interior Angles: Inside, same - side of transversal.
• Alternate Interior Angles: Inside, opposite sides of transversal.

Step2: Match ∠1 and ∠7

∠1 and ∠7 are outside the two lines, on the same side of the transversal → Consecutive Exterior Angles.

Step3: Match ∠1 and ∠4

∠1 and ∠4 are opposite angles formed by intersecting lines → Vertical Angles.

Step4: Match ∠3 and ∠5

∠3 and ∠5 are inside the two lines, on the same side of the transversal → Consecutive Interior Angles.

Step5: Match ∠5 and ∠4

∠5 and ∠4 are inside the two lines, on opposite sides of the transversal → Alternate Interior Angles.

Answer:

• ∠1 and ∠7: Consecutive Exterior Angles
• ∠1 and ∠4: Vertical Angles
• ∠3 and ∠5: Consecutive Interior Angles
• ∠5 and ∠4: Alternate Interior Angles