WhittleyB184569 WhittleyB184569
  • 03-11-2022
  • Mathematics
contestada

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

2 Find the measure of ZRST5x 4R8x 4ºST class=

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AnitaX465199 AnitaX465199
  • 03-11-2022

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

[tex]180-(8x+4)[/tex]

Then we have the equation:

[tex]2(5x-4)+180-(8x+4)=180[/tex]

Solving for x we have:

[tex]\begin{gathered} 10x-8-8x-4=0 \\ 2x-12=0 \\ x=6 \end{gathered}[/tex]

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

[tex]8(6)+4=52[/tex]

Therefore the angle RST is 52°.

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