Question

Please solve this que with detailed explanation. You can see the pdf for figure.

https://www.dropbox.com/s/4kskjn5gyrv70dh/1.pdf

Answer 1

Question 21358

Please find the angles which are not given. Please see the pdf and find the angle "e".

Solution.

Since $SA||CE$ and $SE$ intersects them, then $\angle S = \angle E = 44{}^{\circ}$.

The sides $SH$ and $AH$ of the triangle $\triangle SHA$ are equal to a radius of a circle. Thus, $SH = AH$. It follows that $\angle S = \angle A = 44{}^{\circ}$ and $\angle H = 180{}^{\circ} - 2 \cdot 44{}^{\circ} = 92{}^{\circ}$.

So $\angle e = 180{}^{\circ} - 92{}^{\circ} = 88{}^{\circ}$.

Since $SA||CE$ and $CA$ intersects them, we have $\angle A = \angle C = 44{}^{\circ}$.

Answer. $\angle e = 88{}^{\circ}$