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

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04-11-2022
Mathematics

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

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MichaellaI180406 MichaellaI180406 · Answer 1 · 2022-11-04T00:49:41-04:00

MichaellaI180406 MichaellaI180406

04-11-2022

∠STU and ∠STR are supplementary, therefore:

[tex]\begin{gathered} m\angle STR+m\angle STU=180 \\ where \\ m\angle STR\cong m\angle SRT=30 \\ m\angle STU=3x \end{gathered}[/tex][tex]\begin{gathered} so\colon \\ 30+3x=180 \\ 3x=180-30 \\ 3x=150 \\ x=\frac{150}{3} \\ x=50 \end{gathered}[/tex]

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