Question

question
∠1 and ∠2 are vertical angles. if ( m∠1=(2x + 15)^{circ} ) and ( m∠2=-25^{circ} ), then find the value of x.

Explanation:

Step1: Use the property of vertical angles

Vertical angles are equal. So, \(m\angle1 = m\angle2\).
Given \(m\angle1=(2x + 15)^{\circ}\) and \(m\angle2 = 25^{\circ}\), we have the equation \(2x+15=25\).

Step2: Solve the equation for \(x\)

Subtract \(15\) from both sides of the equation:
\(2x+15 - 15=25 - 15\)
\(2x = 10\)
Divide both sides by \(2\):
\(x=\frac{10}{2}\)

Answer:

\(x = 5\)