Question

sq bisects ∠rst, and m∠rsq = 3x - 9. write an expression for ∠rst. the diagram is not to scale.

o 6x - 9
o 6x - 18
o 1.5x - 4.5
o 3x - 9

Explanation:

Step1: Recall angle - bisector property

A bisector divides an angle into two equal parts. So, if $\overrightarrow{SQ}$ bisects $\angle RST$, then $\angle RST = 2\angle RSQ$.

Step2: Substitute the given expression for $\angle RSQ$

Given $\angle RSQ=3x - 9$, then $\angle RST = 2(3x - 9)$.

Step3: Simplify the expression

Using the distributive property $a(b - c)=ab - ac$, where $a = 2$, $b = 3x$, and $c = 9$, we have $2(3x-9)=2\times3x-2\times9=6x - 18$.

Answer:

$6x - 18$