Question 82
In the regular hexagonal prism $ABCDEFA_1B_1C_1D_1E_1F_1$ one constructs the points $P, Q$, the projections of the point $A$ on the lines $A_1B$, respectively $A_1C$, and $R, S$, the projections of the point $D_1$ on the lines $A_1D$, respectively $C_1D$.
a) Determine the measure of the angle of the planes $(AQP)$ and $(D_1RS)$.
b) Show that $\widehat{AQP} \equiv \widehat{D_1RS}$.
a) Determine the measure of the angle of the planes $(AQP)$ and $(D_1RS)$.
b) Show that $\widehat{AQP} \equiv \widehat{D_1RS}$.