Question

find the value of x.

Explanation:

Step1: Recognize angle - sum property

The sum of the two non - right angles in a right - angled corner is 90°. So, 53°+(3x + 4)°=90°.

Step2: Simplify the left - hand side

Combine like terms: 53 + 4+3x=90, which gives 57+3x = 90.

Step3: Isolate the variable term

Subtract 57 from both sides: 3x=90 - 57. So, 3x=33.

Step4: Solve for x

Divide both sides by 3: x = 11.

Answer:

11