Given: trapezoid ABCD with bases BC AD angle CAD = 40 degrees, angle BDA = 30 degrees, Find the angles DBC, ACB.

At the trapezoid, the bases are parallel to each other. AD parallel to BC.

Then the diagonal AC is a secant intersecting two parallel straight lines, and therefore the angle DАС = DBC = 40 as cross-cutting angles at the intersection of parallel АD and ВС secant АС.

Similarly, BD is secant, and the angle ADB = ACB = 30.

Answer: DBC angle = 40, ACB angle = 30.



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