Question

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

Explanation:

Step1: Set up the equation

We know that the sum of the two - angle measures around point H is 135°. One angle is 90° (the right - angle) and the other is (3 + 7x)°. So, 90+(3 + 7x)=135.

Step2: Simplify the left - hand side of the equation

Combine like terms: 90+3+7x = 135, which gives 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