Question
Line GI bisects angle DGH so that the measurment of angle DGI is x-3 and the measurement of angle IGH is 2x-13. Find the value of x.
Answers
GPT 3.5
Since line GI bisects angle DGH, the sum of angle DGI and angle IGH is equal to the measure of angle DGH.
Therefore, we can write the equation:
(x-3) + (2x-13) = 180
Simplifying the equation, we have:
3x - 16 = 180
Adding 16 to both sides, we get:
3x = 196
Dividing both sides by 3, we find:
x = 196/3
Therefore, the value of x is approximately 65.33.
Therefore, we can write the equation:
(x-3) + (2x-13) = 180
Simplifying the equation, we have:
3x - 16 = 180
Adding 16 to both sides, we get:
3x = 196
Dividing both sides by 3, we find:
x = 196/3
Therefore, the value of x is approximately 65.33.