Question

Given the figure below, find the values of x and y(5x + 56)101Y

Answer 1

In this problem we can use the properti of the oposite angle to know that:

`5x+56=101`

and we can solve for x so:

`\begin{gathered} 5x=101-56 \\ x=(45)/(5) \\ x=9 \end{gathered}`

now we can use the sum of complementary angle so:

`5x+56+z=180`

and we replace the value of x and solve for z so:

`\begin{gathered} 5(9)+56+z=180 \\ z=180-56-45 \\ z=79 \end{gathered}`