Question

∠1 and ∠2 are vertical angles. if ( mangle1=(2x - 4)^{circ}) and ( mangle2=(6x - 20)^{circ}), then find the value of ( x).

Explanation:

Step1: Use the property of vertical angles

Vertical angles are equal. So, \(m\angle1 = m\angle2\).
$$2x - 4=6x - 20$$

Step2: Solve the equation for \(x\)

Subtract \(2x\) from both sides:
$$- 4=4x - 20$$
Add \(20\) to both sides:
$$16 = 4x$$
Divide both sides by \(4\):
$$x = 4$$

Answer:

\(x = 4\)