Same pattern as Parallelogram BCDE — find ∠EAB. New numbers, new story. Try each one on paper, then check the working below — or watch it drawn out, the same way the problem above is.
Question 1
A framer is building a triangular display easel EAD, braced by a parallelogram strut BCDE, where B lies on strut AD. The two strut pieces AB and BE are cut to equal length. Given angle DBC = 42° and angle BCD = 66°, find angle EAB.
Work it out on paper, then check below. ▶ See the working
Question 2
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.
Work it out on paper, then check below. ▶ See the working
Question 3
A landscaper installs a triangular trellis EAD in a garden bed, with a parallelogram lattice panel BCDE fitted inside it; B lies on the trellis edge AD. The posts AB and BE are equal in length. Given angle DBC = 46° and angle BCD = 70°, find angle EAB.
Work it out on paper, then check below. ▶ See the working