Question

find the following values.
15.

x =
m∠fdg =

Explanation:

Step1: Identify vertical angles

Vertical angles are equal, so \(10x = 9x + 12\).

Step2: Solve for \(x\)

Subtract \(9x\) from both sides: \(10x - 9x = 9x + 12 - 9x\)
\(x = 12\).

Step3: Find \(m\angle FDG\)

Substitute \(x = 12\) into \(10x\): \(10\times12 = 120\).

Answer:

\(x = 12\)
\(m\angle FDG = 120^\circ\)