Question 68
Let triangle $ABC$ be so that $m(\angle B) = m(\angle C) = 50^\circ$. Take $D$ on the ray $AB$ so that $BC = AD\sqrt{3}$. Let $MC$ be a segment perpendicular on the plane $ABC$ so that $CD = 2MC$.
a) Prove that $m((\widehat{MAC}), (\widehat{MCD})) = 4m((\widehat{MBC}), (\widehat{MCD}))$.
b) Find the measure of the angle between the planes $MAB$ and $ABC$.
a) Prove that $m((\widehat{MAC}), (\widehat{MCD})) = 4m((\widehat{MBC}), (\widehat{MCD}))$.
b) Find the measure of the angle between the planes $MAB$ and $ABC$.