Today’s problem — free all day, every step. Every day has one.
A kite skeleton — angle EAB
A kite maker cuts a triangular kite skeleton EAD from bamboo, with a parallelogram sail panel BCDE stitched across it; B lies on the spine AD. The struts AB and BE are equal in length. Given angle DBC = 51° and angle BCD = 59°, find angle EAB.
Show the answerHide the answer
See all 6 steps
MathBrush is being tested with a few parent groups, and every solution on the site is open to them — one household, all children. If you were given a code, it goes in once and this device remembers it.
I have a code → See the free ones
65 worked examples are free without a code, two from every pattern. No account, either way.
The pattern behind it: Angle chasing
One angle gives you the next, until you reach the angle asked for.
In this one. A parallelogram carries the angle at D across to B, and an exterior angle of an isosceles triangle is exactly twice each base angle — so halve it.
How to spot it
A figure has several angles marked with only one or two values given, and words like 'isosceles', 'parallel', or 'straight line' point to which rule to use first.
Common mistake
Children apply an angle rule to the wrong triangle or the wrong straight line in a crowded figure, or stop one step before the angle actually asked for.
Try one like it
Challenging A display easel — angle EAB A framer is building a triangular display easel EAD, braced by a parallelogram strut BCDE, where B lies on strut AD. The two strut…The 33 problem patterns
All 33 patterns, one to a page — the 19 behind Primary 5 and 6 word problems, and the skills the younger years are built on. The bar model, how to spot it in the question, and the mistake children make. A booklet you can print. Free.
A PDF, and a note when new solutions go up.