You may also like

problem icon

Consecutive Numbers

An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.

problem icon

Calendar Capers

Choose any three by three square of dates on a calendar page...

problem icon

Days and Dates

Investigate how you can work out what day of the week your birthday will be on next year, and the year after...

Extended Parallelogram

Stage: 3 Short Challenge Level: Challenge Level:2 Challenge Level:2

Opposite angles of a parallelogram are equal, so ∠QPS = 50°. Therefore, ∠QPT = 112° and, as triangle QPT is isosceles, ∠PQT = (180°-112°)/2=34°. As PQRS is a parallelogram, ∠PQR = 180° - 50° = 130°.

So ∠TQR = 130° - 34° = 96°.

This problem is taken from the UKMT Mathematical Challenges.