Question

If m[zyu=8p-10 and m [uyw=10p-20, find m [zyu

Answer 1

to bisect something, simply means to cut it into two equal halves.

so YU is an angle bisector, meaning ∡ZYU and ∡UYW are twins, meaning 8p - 10 = 10p -20.

$\bf 8p-10=10p-20\implies -10=2p-20\implies 10=2p\implies \cfrac{10}{2}=p\\\\\\5=p ~\hspace{15em} \stackrel{\measuredangle ZYU}{8(5)-10}\implies 30$