Question 96
Let $AB\Gamma$ be an acute angled triangle with $AB \lt A\Gamma$. Let $\Delta$ be the midpoint of the side $B\Gamma$ and $BE$, $\Gamma Z$ altitudes of the triangle $AB\Gamma$. The line $ZE$ meets the line $B\Gamma$ at point $\Theta$.
a. Find the angles of the triangle $Z\Delta E$ with respect to the angle $\hat{A}$ of $AB\Gamma$.
b. Find the angle $B\Theta Z$ with respect to the angles $\hat{B}$ and $\hat{\Gamma}$ of $AB\Gamma$.
a. Find the angles of the triangle $Z\Delta E$ with respect to the angle $\hat{A}$ of $AB\Gamma$.
b. Find the angle $B\Theta Z$ with respect to the angles $\hat{B}$ and $\hat{\Gamma}$ of $AB\Gamma$.