Question

find the value of x.

x =
submit

Explanation:

Step1: Identify angle - sum property

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

Step2: Combine like - terms

Combine the x - terms and the constant terms. (4x + 6x)+(20° + 90°)=360°, which simplifies to 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=$\frac{250^{\circ}}{10}$, so x = 25.

Answer:

25