Question

find the value of x.

x =

Explanation:

Step1: Analyze the angle relationship

The sum of the right - angle (\(90^{\circ}\)) and the given angle \((3 + 7x)^{\circ}\) is \(135^{\circ}\). So, \(90+(3 + 7x)=135\).

Step2: Simplify the equation

First, simplify the left - hand side of the equation: \(90+3+7x=135\), which becomes \(93+7x = 135\).

Step3: Solve for \(x\)

Subtract \(93\) from both sides: \(7x=135 - 93\). Then \(7x = 42\). Divide both sides by \(7\): \(x=\frac{42}{7}\).

Answer:

\(6\)