Answer:
∠CBA = 132
Step-by-step explanation:
Bisectors split up an angle into two identical angles
Thus, 7x - 11 = 2x + 44
This is the equation we will use to solve for x
7x - 11 = 2x + 44
step 1 add 44 to each side
44 + 11 = 55
-11 + 11 cancels out
we now have 7x = 2x + 55
step 2 subtract 2x from each side
7x - 2x = 5x
2x - 2x cancels out
we now have 5x = 55
step 3 divide each side by 5
5x / 5 = x
55 / 5 = 11
we're left with x = 11
The question is asking for the measure of ∠CBA
To find the measure of ∠CBA we plug in 11 for x in one of the given expressions and multiply that by 2 ( this is because the two angles are identical so there is no need to find the measures of both because ∠CBD≅∠ABD )
7(11) - 11
7 * 11 = 77
77 - 11 = 66
66 * 2 = 132
