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Question 3 of 5Find the value of x and the measure of the angle labeled 3x.723x4527O A. x = 9; angle measure is 27'.OB. X = 9; angle measure is 45°O c. x = 15; angle measure is 27".O D. X = 15; angle measure is 45°.SUBMIT

Question 3 of 5Find the value of x and the measure of the angle labeled 3x723x4527O A x 9 angle measure is 27OB X 9 angle measure is 45O c x 15 angle measure is class=

Respuesta :

Notice that the sum of the angle 3x and its adjacent equals 72 degrees, then, we have the following equation:

[tex]3x+45=72[/tex]

solving for x we get the following:

[tex]\begin{gathered} 3x+45=72 \\ \Rightarrow3x=72-45=27 \\ \Rightarrow x=\frac{27}{3}=9 \\ x=9 \end{gathered}[/tex]

therefore, the value of x is x = 9 and the measure of the angle is 3(9)=27 degrees

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