The measure of w in the figure is -13
How to determine the value of w?
From the question, we have the following parameters that can be used in our computation:
The diagram
From the question, we have
Line BC bisects angle ACD
This means that
ACB = (180 - 72)/2
Evaluate the difference
ACB = 108/2
Evaluate the quotient
ACB = 54
So, the angle w is then calculated as
54 + 2w + 80 + 72 = 180
Evaluate the like terms
2w = -26
Divide both sides by 2
w = -13
Hence, the value of w is -13
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