Question

How do I do this question?

Answer 1

Check the picture below.

now, based on the provided information, we know the hexagon and triangle are regular polygons, equal sides and equal angles, we also know the angle in pink there of E and G are twins inside that irregular trapezoid, and you can see the exterior angles labeled there of 220° and 136°.

now, the trapezoid has twin angles at E and G, that means that the sides of DE and JG are equal and that also means that the other two angles inside that trapezoid are also twins, namely D and J.

if you notice the hexagon on the left-hand-side, a hexagon has interior angles of 120° and if we take a peek at the vertex at D, it has two angles then, one interior or 120° and an exterior of 136°, a full revolution will be 360°, so the remaining angle in green there must be 360° - 120° - 136°  = 104°, and her twin at vertex J is also 104°.