Answer:
101°
Step-by-step explanation:
We are given a figure with a triangle with one known angle and two angles with variables and we are to find the measure of angle CBA.
We know that the sum of all three angles of a triangle is 180°.
So adding up the given values and putting them equal to 180 to solve for x:
[tex](4x+7)+(11x-9)+32=180[/tex]
[tex]4x+11x+7-9+32=180[/tex]
[tex]15x+30=180[/tex]
[tex]15x=150[/tex]
[tex]x=10[/tex]
Therefore, the measure of angle CBA will be = [tex]=(11x-9)[/tex]°
[tex]=(11(10)-9) = [/tex] 101°
