<h2><u>Solution (1) :</u></h2>
Measure of angle ABC = (3x)°
Measure of angle CBD = (15x+18)°
Since angle ABC and angle CBD are a linear pair their sum will be equal to 180°¿
Which means :
Thus, <u>the value of x = 9</u>.
<h2><u>Solution (2)</u> :</h2>
From that equation, we know that the value of x = 9.
Which means :
Measure of angle ABC :
Measure of angle ABC = 27°
Therefore, <u>the measure of angle ABC = 27°</u>
<h2><u>Solution (3)</u> :</h2>
We know that x = 9
Which means :
Measure of angle CBD :
Thus, angle CBD = 153°
Since the measure of angle ABC and angle CBD equals 180°[27+153=180°], we can conclude that we have found out the correct value of each angle.
Therefore, <u>the measure of angle CBD = 153°</u>