Question

point Given the information belowhat is the value of x? Be careful identifying each angle.

Answer 1

6

Explanation

Step 1

Let

$\begin{gathered} \measuredangle QRS=7x-2(\text{blue)} \\ \measuredangle QRT=9x+1(\text{red)} \\ \measuredangle SRT=15\text{ (green)} \end{gathered}$

then

blue +green = red

$\measuredangle QRS+\measuredangle SRT=\measuredangle\text{QRT}$

Step 2

replace and solve for x

$\begin{gathered} \measuredangle QRS+\measuredangle SRT=\measuredangle\text{QRT} \\ (7x-2)+15=9x+1 \\ 7x-2+15=9x+1 \\ 7x+13=9x+1 \\ 7x-9x=1-13 \\ -2x=-12 \\ x=\frac{-12}{-2} \\ x=6 \end{gathered}$

I hope this helps you