Question

<LMN and <NMO are a linear pair of angles. If <LMN = 4x + 3 and <NMO = 10x - 5, then find the value of x

Answer 1

x = 10
x = 12
x = 14
x = 13

Answer 2

Since the angles are a linear pair, their sum is 180 degrees.
Thus, we can set up the equation 4x + 3 + 10x - 5 = 180.
Combining like terms gives 14x - 2 = 180.
Adding 2 to both sides gives 14x = 182.
Dividing both sides by 14 gives x = 13.

Answer 3

x = 13