Question

question
∠1 and ∠2 are vertical angles. if m∠1 = 1° and m∠2 = (2x - 15)°, then find the value of x.
answer attempt 1 out of 3
submit answer
show examples
score: 2/5 penalty: 1 off
angle terminology with equations

Explanation:

Step1: Use the property of vertical angles

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

Step2: Set up the equation

Given \(m\angle1 = 1^{\circ}\) and \(m\angle2=(2x - 15)^{\circ}\), we have the equation \(1=2x - 15\).

Step3: Solve the equation for \(x\)

Add \(15\) to both sides of the equation: \(1+15=2x-15 + 15\), which simplifies to \(16 = 2x\).
Divide both sides by \(2\): \(x=\frac{16}{2}\).

Answer:

\(x = 8\)