Question

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

Explanation:

Step1: Identify angle - relationship

The angle \(135^{\circ}\) is composed of a right - angle (\(90^{\circ}\)) and the angle \((3 + 7x)^{\circ}\). 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: 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 of the equation by 7: \(x=\frac{42}{7}\).

Answer:

6