Final answer:
The value of x in the given parallelogram is 11.
Step-by-step explanation:
Given that the quadrilateral MLKJ is a parallelogram, we know that the opposite angles are congruent. So angle M is congruent to angle K. Hence, we can write:
angle M = angle K = 10x + 5
angle L is given as 65°
Since angle K and angle L are adjacent angles in a parallelogram, their sum is 180°.
So, (10x + 5) + 65 = 180
Simplifying the equation, we get:
10x + 70 = 180
Subtracting 70 from both sides:
10x = 110
Dividing both sides by 10:
x = 11