Answer:
-9
Explanation:
To find the value of x, we can set the measures of angles DEF and DEG equal to each other since they are congruent.
Given:
Measure of angle DEF = 3x + 1
Measure of angle DEG = 5x + 19
Setting the two expressions equal to each other:
3x + 1 = 5x + 19
Next, we can solve for x by isolating the variable on one side of the equation.
Subtracting 3x from both sides:
1 = 2x + 19
Subtracting 19 from both sides:
-18 = 2x
Finally, we divide both sides of the equation by 2 to solve for x:
x = -9
Therefore, the value of x is -9.