Question

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

Answer 1

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