JAMB Mathematics 2019 Objective — Question 9

Question 9 of 40 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2019 Objective paper, with the correct answer and a full explanation.

In the figure, PQ and TS are straight lines meeting at angle x. Angle PQR = 110° and angle RST (at T) = 120°. The value of x in the figure is

A. 70°
B. 130°Correct
C. 110°
D. 100°

Explanation

Extending PQ and TS to meet at R, and drawing a line through R parallel to both: the co-interior angles give a=180−110=70° and b=180−120=60°. By alternate angles, x₁=a=70° and x₂=b=60°, so x = x₁+x₂ = 70+60 = 130°.

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.

Create free account

More questions from Mathematics 2019 Objective More Mathematics past papers