Question

∠1 and ∠2 are vertical angles. if m∠1=(5x + 23)° and m∠2=(7x + 21)°, then find the value of x.

Explanation:

Step1: Set up the equation

Since vertical angles are equal, \(5x + 23=7x + 21\).

Step2: Solve for \(x\)

Subtract \(5x\) from both sides: \(23 = 2x+21\).
Subtract \(21\) from both sides: \(2=2x\).
Divide both sides by \(2\): \(x = 1\).

Answer:

\(x = 1\)