Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
GI
−
→
��→ bisects
∠DGH
∠��� so that
m∠DGI
�∠��� is
x−3
�-3 and
m∠IGH
�∠��� is
2x−13
2�-13. Find the value of x.
To solve this problem, we can set up an equation based on the given information:
Since the angle bisector divides an angle into two equal parts, we can set up the equation:
m∠DGI = m∠IGH
Given that m∠DGI = x - 3 and m∠IGH = 2x - 13, we can write:
x - 3 = 2x - 13
To solve this equation, we can subtract x from both sides:
-x + x - 3 = 2x - x - 13
Simplifying, we get:
-3 = x - 13
Next, we can add 13 to both sides:
-3 + 13 = x - 13 + 13
Simplifying further, we get:
10 = x
Therefore, the value of x is 10.