Question

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

Explanation:

Step1: Set up the equation

We know that the sum of the two non - overlapping angles at point $H$ is $135^{\circ}$. One angle is $90^{\circ}$ (the right - angle) and the other is $(3 + 7x)^{\circ}$. So, $90+(3 + 7x)=135$.

Step2: Simplify the left - hand side of the equation

First, combine like terms: $90+3+7x=135$, which simplifies to $93 + 7x=135$.

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:

$x = 6$