Question

I need a quick and easy Explanation for this answer I have been waiting for this and I do not get it

Answer 1

Step-by-step explanation

Given:

mm

A.

To determine the measure of
`\begin{gathered} m\angle TRQ+m\angle QRS=180 \\ 145+m\angle QRS=180 \\ \text{Simplify and rearrange} \\ m\angle QRS=180-145 \\ m\angle QRS=35\degree \end{gathered}`

Therefore, m

B.

To determine the measure of
`\begin{gathered} m\angle QRS+\angle S+\angle Q=180 \\ 35+y+4y=180 \\ \text{Simplify and rearrange} \\ 35+5y=180 \\ 5y=180-35 \\ 5y=145 \\ y=(145)/(5) \\ y=29\degree \end{gathered}`Now, we plug in y=29 into m
`\begin{gathered} m\angle Q=4y \\ m\angle Q=4(29) \\ m\angle Q=116\degree \end{gathered}`Therefore, m