Question

find the value of x.
100°
(4x + 1)°
(5x)°
g
d
x =

Explanation:

Step1: Set up the equation

The measure of the arc \( ED\) is \(100^{\circ}\), and the relationship between the arc and the angles formed by the two rays is \(5x-(4x + 1)=100\).

Step2: Simplify the equation

Simplify \(5x-(4x + 1)=100\) to \(5x-4x-1 = 100\).

Step3: Solve for \(x\)

Combine like terms: \(x-1=100\). Then add \(1\) to both sides: \(x=100 + 1\).

Answer:

\(x = 101\)