Question

Polygons & quadrilaterals on trapezoids. find the missing measures m

Answer 1

We will start with angles As they are consecutive interior angles and WX and ZY are parallel,

Then, we can write:

`\begin{gathered} m\angle X+m\angle Y=180\degree \\ (13x-7)+(8x-2)=180 \\ 13x+8x-7-2=180 \\ 21x-9=180 \\ 21x=180+9 \\ 21x=189 \\ x=(189)/(21) \\ x=9 \end{gathered}`

With the value of x, we can calculate m
`\begin{gathered} m\angle X=13x-7=13\cdot9-7=117-7=110\degree \\ m\angle Y=8x-2=8\cdot9-2=72-2=70\degree \end{gathered}`Now, as WZ = XY, we can conclude that m

Answer:

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