Question

In the figure below, m Z1 = (x+42) and m 2 = 58° Find the angle measures. 1 2

Answer 1

First of all, we need to remember that the angle on the line is 180 degrees, like this:

from the image, we have two angles expressed in factors, but we can conclude that if we add two factors it will be 180, like this:

`\begin{gathered} (x+42)+5x=180 \\ x+5x=180-42 \\ 6x=138 \\ x=(138)/(6)=23 \\ x=23 \end{gathered}`

Finally, your answer is x=23 and the values of the angles are:

`\begin{gathered} \text{angle 1 = x+42 = 23+42=65} \\ \text{angle 1 = 65} \\ \text{angle 2=5}\cdot x=5\cdot23=115 \\ \text{angle 2=115} \end{gathered}`