Two straight roads cross each other at Orchard Road, forming four angles at the intersection. The four angles are labelled p, q, r, and s going clockwise from the top. Angle p = 65°, angle q = 115°, angle r = 65°, and angle s = 115°. Which pair of angles are VERTICALLY OPPOSITE angles?
Show Worked Solution
Worked Solution
Step 1: Recall the property: vertically opposite angles are formed when two straight lines cross. They are directly ACROSS from each other and are ALWAYS equal in size.
Step 2: List the angle pairs that are across from each other at the intersection:
• Angle p (top) is directly across from angle r (bottom): both = 65°
• Angle q (right) is directly across from angle s (left): both = 115°
Step 3: Both p & r and q & s are vertically opposite pairs. The question identifies angle p and angle r as the required answer.
Answer: Angle p and angle r.
Answer: Angle p and angle r
Correct answer: Angle p and angle r
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