SOLUTION: when given an angle that has been bisected and one piece = 2X and the other half = 3x+9 , how do you find the measure of the entire angle ?

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Question 228956: when given an angle that has been bisected and one piece = 2X and the other half = 3x+9 , how do you find the measure of the entire angle ?
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


If the angle has been bisected, the measure of one part of the bisection has to be the same as the measure of the other half of the bisection. However, your expressions for the measures of the two pieces make no sense. Here's why:

Since the two pieces have to be equal:





Now the total measure of the original angle must be the sum of the to parts:



But if



And a negative value for the measure of something is absurd.

On the other hand, if you had a typo and you really meant and , then everything works fine:







John