Respuesta :

calculista

Answer:

The measure of angle RST is [tex]120\°[/tex]

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

[tex]m<RST=(6x+12)\°[/tex] -----> equation A

[tex]m<RST=78\°+(3x-12)\°[/tex] -----> equation B

equate equation A and equation B

[tex](6x+12)\°=78\°+(3x-12)\°[/tex]

[tex]6x-3x=78\°-24\°[/tex]

[tex]3x=54\°[/tex]

[tex]x=18\°[/tex]

The measure of angle RST is equal to

[tex]m<RST=(6(18)+12)=120\°[/tex]

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abidemiokin

The measures of RST in degrees is 120degrees

Lines and angles

From the given diagram, the following expression is true

<RST = 78 + 3x - 12

Since <RST = 6x +12, hence;

6x + 12 = 66 + 3x

3x = 54

x = 18

Find the measure of <RST

<RST = 6(18) + 12
<RST = 120degrees

Hence the measure of RST in degrees is 120degrees

Learn more on line and angles here: https://brainly.com/question/25770607

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