Question

question ∠1 and ∠2 are vertical angles. if m∠1 = (x + 11)° and m∠2 = 9°, then find the value of x.

Explanation:

Step1: Recall vertical angles property

Vertical angles are equal, so \( m\angle1 = m\angle2 \).

Step2: Substitute given values

Substitute \( m\angle1=(x + 11)^\circ \) and \( m\angle2 = 9^\circ \) into the equation: \( x + 11=9 \).

Step3: Solve for x

Subtract 11 from both sides: \( x=9 - 11 \), so \( x=- 2 \).

Answer:

\( x = -2 \)