I was trying to do this assignment but I don't know how to do it

Question

asked Nov 15, 2023 235k views

1 Answer

ToddEmon · Answer 1 · 2023-11-20T05:26:32+0000

Since BX bisects the angle, then the measure of ABX and XBC must be the same. Then we have the next equation

$\begin{gathered} m\angle ABX=m\angle XBC \\ 5x=3x+10 \\ 5x-3x=10 \\ 2x=10 \\ x=(10)/(2) \\ x=5 \end{gathered}$

Then,

$m\angle XBC=3(5)+10=15+10=25$

then, the answer is 25