Question

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

Answer 1

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

$3x+45=72$

solving for x we get the following:

$\begin{gathered} 3x+45=72 \\ \Rightarrow3x=72-45=27 \\ \Rightarrow x=\frac{27}{3}=9 \\ x=9 \end{gathered}$

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