GCE Mathematics 2022 Objective — Question 36

Question 36 of 50 from the General Certificate of Education (GCE) Mathematics 2022 Objective paper, with the correct answer and a full explanation.

The diagram shows triangle MNR inscribed in a circle and PQ is a tangent line. If angle MRN=41 degrees and angle PMR=141 degrees, find angle QNR.

A. 39 degrees
B. 80 degreesCorrect
C. 110 degrees
D. 141 degrees

Explanation

angle PMR = angle MRN + angle RNM (exterior angle equals sum of two opposite interior angles): 141=41+RNM, so RNM=100 degrees. RNM+QNR=180 (angles on a straight line): 100+QNR=180, so QNR=80 degrees.

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 2022 Objective More Mathematics past papers