Question

find the value of x.
(3 + 7x)°
135°
x =

Explanation:

Step1: Identify angle - relationship

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

Step2: Simplify the left - hand side of the equation

Combine like terms: \(7x+93 = 135\).

Step3: Isolate the variable term

Subtract 93 from both sides of the equation: \(7x=135 - 93\), so \(7x = 42\).

Step4: Solve for \(x\)

Divide both sides by 7: \(x=\frac{42}{7}=6\).

Answer:

6