Question

name all pairs of adjacent angles. r s t e l n 110° ∠stn & ∠ltn ∠rtn & ∠rts ∠rts & ∠ste ∠rts & ∠nte ∠rtl & ∠stn ∠rtl & ∠ltn

Explanation:

Step1: Recall adjacent - angle definition

Adjacent angles share a common vertex and a common side.

Step2: Identify pairs at vertex T

• $\angle RTL$ and $\angle LTN$ share vertex $T$ and side $\overrightarrow{TL}$.
• $\angle RTL$ and $\angle STN$ share vertex $T$ and side $\overrightarrow{RT}$.
• $\angle RTS$ and $\angle STE$ share vertex $T$ and side $\overrightarrow{ST}$.
• $\angle RTS$ and $\angle NTE$ share vertex $T$ and side $\overrightarrow{ST}$.
• $\angle RTN$ and $\angle RTS$ share vertex $T$ and side $\overrightarrow{RT}$.
• $\angle STN$ and $\angle LTN$ share vertex $T$ and side $\overrightarrow{TN}$.

Answer:

$\angle RTL$ and $\angle LTN$, $\angle RTL$ and $\angle STN$, $\angle RTS$ and $\angle STE$, $\angle RTS$ and $\angle NTE$, $\angle RTN$ and $\angle RTS$, $\angle STN$ and $\angle LTN$