Question

find the value of x.

x =

submit

Explanation:

Step1: Note angle - sum property

The sum of angles around a point is 360°. Here, we have a right - angle (90°) and other angles 4x, 6x, and 20°. So, 4x + 6x+90 + 20=360.

Step2: Combine like terms

Combining the x - terms and the constant terms, we get (4x + 6x)+(90 + 20)=360, which simplifies to 10x+110 = 360.

Step3: Isolate the variable term

Subtract 110 from both sides of the equation: 10x+110−110 = 360−110, resulting in 10x=250.

Step4: Solve for x

Divide both sides of the equation by 10: $\frac{10x}{10}=\frac{250}{10}$, so x = 25.

Answer:

25