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Weekly Problem 27 - 2013

Stage: 3 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

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

What is the value of $x$?

triangle with parallelogram

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.

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