Answer:
CBD = 63 degrees
Explanation:
To find CBD, we must first find the value of x. To do so, we use this equation since CBD and ABC equal 96 degrees:
(6x+27) + (7x-9) = 96
13x+18 = 96
13x+18-18 = 96-18
13x = 78
13x/13 = 78/13
x = 6
Now that we know the value of x, we factor it in to CBD to find its true value:
6x+27
6(6)+27
36+27
= 63 degrees
To check if this answer is correct, we can also find the value of ABC and see if the two values equal 96:
7x-9
7(6)-9
42-9
= 33 degrees
63 + 33 = 96
The answer is correct. CBD = 63 degrees and ABC = 33 degrees.