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MathNet 2019-part-05 — 184 problems (EN–VI) Question 50

Math Olympiad Vault · MathNet 2019-part-05 — 184 problems (EN–VI)

Question 50

One considers the rectangular parallelepiped $ABCDA'B'C'D'$ such that the measure of the dihedral angle formed by the planes ($A'BD$) and ($C'BD$) is $90^\circ$ and the measure of the dihedral angle formed by the planes ($AB'C$) and ($D'B'C$) is $60^\circ$. Determine the measure of the dihedral angle formed by the planes ($BC'D$) and ($A'C'D$).