Answer:
x = 19
Step-by-step explanation:
Vertical opposite angles are formed when two straight line intersects each other. Therefore, the angles are vertical angles.
To find the value of x, set both angles equal to each other, since vertical angles are congruent.
Thus:
5x + 44 = 8x - 13
5x + 44 - 8x = 8x - 13 - 8x (subtraction property of equality)
-3x + 44 = - 13 (simplification)
-3x + 44 - 44 = - 13 - 44 (subtraction property of equality)
-3x = 57 (simplication)
-3x/-3 = 57/-3 (division property of equality)
x = 19
