Question

31. Find the value of x. The diagram is not to scale.Given: ZSRT = ZSTR, mZSRT = 30, mZSTU = 3xSRT UA. 33B. 50C. 10D. 30

Answer 1

∠STU and ∠STR are supplementary, therefore:

`\begin{gathered} m\angle STR+m\angle STU=180 \\ where \\ m\angle STR\cong m\angle SRT=30 \\ m\angle STU=3x \end{gathered}`
`\begin{gathered} so\colon \\ 30+3x=180 \\ 3x=180-30 \\ 3x=150 \\ x=(150)/(3) \\ x=50 \end{gathered}`