Question

Need help with this one! Use the following figure to find the missing measurements in the box below.

Answer 1

Given: a rectangle is given

Find: x,y,z, AE, DC, mStep-by-step explanation: (a) x

`\begin{gathered} 3x=54^0 \\ x=(54)/(3) \\ x=18^0 \end{gathered}`

(b)

`\begin{gathered} 3x=3*18=54 \\ 90-54=36 \\ 90+36+y=180 \\ y=180-126 \\ y=54^0 \end{gathered}`
`\begin{gathered} z=(90)/(2) \\ z=45^0 \end{gathered}`

AE

`AE=(36)/(2)=18`
`\begin{gathered} DC=√((36)^2-(17)^2) \\ =√(1296-289) \\ =√(1007) \\ =31.74 \end{gathered}`
`\angle AEB=\text{ 90}^0`