Copyright © University of Cambridge. All rights reserved.

The diagram, which is not drawn accurately, shows a parallelogram inside a triangle.The marked lengths are equal.

What is the value of $x$?

If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.

*This problem is taken from the UKMT Mathematical Challenges.**View the archive of all weekly problems grouped by curriculum topic*

View the current weekly problem