Question

2. Find the measure of ZRST.(5x – 4):R(8x + 4)ºST

Answer 1

From the picture we notice that the angles R and Q are the same. Furthermore the interior angle S of the triangle is:

$180-(8x+4)$

Then we have the equation:

$2(5x-4)+180-(8x+4)=180$

Solving for x we have:

$\begin{gathered} 10x-8-8x-4=0 \\ 2x-12=0 \\ x=6 \end{gathered}$

Now we plug the value of x in the expression for the angle RST, then:

$8(6)+4=52$

Therefore the angle RST is 52°.