Two straight lines intersect at point O. One of the angles formed is (4y + 5)° and the angle vertically opposite to it is (3y + 20)°. Find the reflex angle at O on the same side as these two angles.
Show Worked Solution
Worked Solution
Step 1: Vertically opposite angles are equal.
4y + 5 = 3y + 20
Step 2: Solve for y.
4y − 3y = 20 − 5
y = 15
Step 3: Find the acute/obtuse angle at O.
Angle = (4y + 5)° = 4(15) + 5 = 60 + 5 = 65°
Verify with VO: (3y + 20)° = 3(15) + 20 = 45 + 20 = 65° ✓
Step 4: Find the reflex angle.
Reflex angle = 360° − 65° = 295°
Answer: 295°
Answer: 295°
Correct answer: 295°
Want more questions like this? Superholic Lab has 10,000+ MOE-aligned questions with full worked solutions.
Start Free Trial — 7 Days Free