Question

∠1 and ∠2 are vertical angles. if ( mangle 1 = (x + 11)^circ ) and ( mangle 2 = 9^circ ), then find the value of ( x ). score: 1/3 penalty: none question answer attempt 1 out of 2 submit answer watch video show examples

Explanation:

Step1: Recall vertical angles property

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

Step2: Substitute the given expressions

We know \( m\angle1=(x + 11)^\circ \) and \( m\angle2 = 9^\circ \), so set up the equation: \( x + 11=9 \).

Step3: Solve for \( x \)

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

Answer:

-2