Question

find the value of x.
7)
(2x + 14)°
(3x + 1)°

Explanation:

Step1: Identify angle relationship

Assume the two angles \((2x + 14)^\circ\) and \((3x + 1)^\circ\) are complementary (since they seem to form a right angle, though the diagram's full context implies a right angle between them, so their sum is \(90^\circ\)). So, \((2x + 14)+(3x + 1)=90\).

Step2: Simplify the equation

Combine like terms: \(2x + 3x+14 + 1 = 90\) → \(5x + 15 = 90\).

Step3: Solve for x

Subtract 15 from both sides: \(5x = 90 - 15\) → \(5x = 75\). Divide by 5: \(x=\frac{75}{5}=15\).

Answer:

\(x = 15\)