Two straight lines PQ and RS cross at point O on a school field marker. The angle ∠POR is marked as 4x°, and the angle ∠QOS directly opposite it is marked 124°. Find the value of x.
Show Worked Solution
Worked Solution
Step 1: Identify the angle relationship. ∠POR and ∠QOS are formed by the same two lines crossing at O on opposite sides — they are VERTICALLY OPPOSITE angles.
Step 2: Vertically opposite angles are equal. Therefore 4x° = 124°.
Step 3: Divide both sides by 4: x = 124 ÷ 4.
Step 4: Compute: 124 ÷ 4 = 31.
Final answer: x = 31.
Answer: 31
Correct answer: 31
Want more questions like this? Superholic Lab has 10,000+ MOE-aligned questions with full worked solutions.
Start Free Trial — 7 Days Free