WAEC Mathematics 2017 Theory — Question 4
Question 4 of 25 from the West African Examinations Council (WAEC) Mathematics 2017 Theory paper, with the correct answer and a full explanation.
Advertisement
2(b) In the diagram, ∠STQ=m, ∠TUQ=80°, ∠UPQ=r°, ∠PQU=n° and ∠RQT=88°. Find the value of (m+n)°
Model answer
∠STQ + ∠QTU = 180° (angles on a straight line), so ∠QTU=180-m ...(i). Also n° + ∠TQU + 88° = 180° (angles on a straight line), so ∠TQU=180-(88+n) ...(ii). In ΔTQU: 80 + ∠TQU + ∠QUT = 180° (sum of angles in a triangle). Combining relations (i) and (ii) with the triangle angle sum and solving gives n + m = 172°.
Advertisement
Sign up free to unlock
- Score tracking
- Practice history
- Saved questions
- Progress dashboard
- Personalized sessions
- Weak-topic breakdown
…and/or go further with premium services and No Ads.