find the value of x. x =

Answer

Explanation:

Step1: Sum of angles at a point

The sum of the angles around point F is 360°. Since there is a right - angle (90°) and three angles of measure ((x + 4)^{\circ}), we can write the equation. (3(x + 4)+90=360)

Step2: Expand the left - hand side

Expand (3(x + 4)) using the distributive property (a(b + c)=ab+ac). So (3(x + 4)=3x+12). The equation becomes (3x + 12+90=360). (3x+102 = 360)

Step3: Isolate the term with x

Subtract 102 from both sides of the equation. (3x=360 - 102) (3x=258)

Step4: Solve for x

Divide both sides of the equation by 3. (x=\frac{258}{3}) (x = 86)