Question

Angle MLN and Angle ILK are complementary, mAngle MLN = 7x – 1, and mAngle ILK = 4x + 3. Solve for x.

A) x = 1
B) x = 2
C) x = 3
D) x = 4

Answer 1

To solve for x, set up an equation using the fact that the angles are complementary and combine like terms to solve for x.

Step-by-step explanation:

To solve for x in this problem, we need to set up an equation based on the fact that Angle MLN and Angle ILK are complementary angles. Complementary angles add up to 90 degrees, so we can create the equation: 7x - 1 + 4x + 3 = 90. We can then combine like terms and solve for x:

7x + 4x - 1 + 3 = 90
11x + 2 = 90
11x = 88
x = 8

Therefore, x = 8. None of the given options (A, B, C, D) are correct.