103k views
0 votes
Umm I have been stuck in this question could u help me out I sent a pic

Umm I have been stuck in this question could u help me out I sent a pic-example-1

1 Answer

2 votes

First, to make both triangles congruent, we should have that angle P equals angle L, so we have the following:


\begin{gathered} \measuredangle P=\measuredangle L \\ \measuredangle P=9x-18 \\ \measuredangle L=4x-17 \\ \Rightarrow9x-18=4x+17 \end{gathered}

Solving for x we get:


\begin{gathered} 9x-18=4x+17 \\ \Rightarrow9x-4x=17+18 \\ \Rightarrow5x=35 \\ \Rightarrow x=(35)/(5)=7 \\ x=7 \end{gathered}

User Mystic Cola
by
3.9k points