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Find the missing values of the variables. The diagram is not to scale. 1000 yn

User Smadar
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1 Answer

3 votes

to solve this question, we can use some angle theorem on this quadilateral


\begin{gathered} y+106=180 \\ \end{gathered}

theorem: angle on a straight line is equal to 180 degree


\begin{gathered} y+106=180 \\ y=180-106 \\ y=74^0 \end{gathered}

to solve x, we can use another theorem


x+74+74+119=360^0

theorem: sum of angles in a quadilateral is equal to 360 degree


\begin{gathered} x+74+74+119=360 \\ x+267=360 \\ x=360-267 \\ x=93^0 \end{gathered}

from the calculation above, the value of x is equal to 93 and y is equal to 74

Find the missing values of the variables. The diagram is not to scale. 1000 yn-example-1
User Alessio Trecani
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5.1k points