Question

find the value of x.
x =

Explanation:

Step1: Identify angle - sum relationship

The three angles \((x + 4)^{\circ}\) together form a right - angle, which is \(90^{\circ}\). So, \((x + 4)+(x + 4)+(x + 4)=90\).

Step2: Simplify the left - hand side

Combine like terms: \(3(x + 4)=90\).

Step3: Distribute the 3

Using the distributive property \(a(b + c)=ab+ac\), we get \(3x+12 = 90\).

Step4: Isolate the variable term

Subtract 12 from both sides: \(3x=90 - 12\), so \(3x=78\).

Step5: Solve for x

Divide both sides by 3: \(x=\frac{78}{3}\).

Answer:

26