Question

find the value of x.
(4x)°
(6x)°
20°
x =

Explanation:

Step1: Note angle - sum property

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

Step2: Combine like terms

Combine the x - terms: 4x+6x = 10x. The equation becomes 10x+90 + 20=360, or 10x+110 = 360.

Step3: Isolate the variable term

Subtract 110 from both sides of the equation: 10x=360 - 110. So, 10x=250.

Step4: Solve for x

Divide both sides by 10: x = \frac{250}{10}=25.

Answer:

25