Question

find the value of x.
2)
(6x + 1)°
23°

Explanation:

Step1: Identify angle relationship

The two angles \((6x + 1)^\circ\) and \(23^\circ\) are complementary (they form a right angle, \(90^\circ\)). So, their sum is \(90^\circ\).

$$ (6x + 1) + 23 = 90 $$

Step2: Simplify the equation

Combine like terms:

$$ 6x + 24 = 90 $$

Step3: Solve for \(x\)

Subtract 24 from both sides:

$$ 6x = 90 - 24 \\ 6x = 66 $$

Divide both sides by 6:

$$ x = \frac{66}{6} \\ x = 11 $$

Answer:

\(x = 11\)