Question

need help?
in the figure, ( mangle 3 = 75^circ ) and ( mangle 10 = 105^circ ). find the measure of ( angle 5 ).
incorrect
3 bass left. please try again

Explanation:

Step1: Identify the relationship between angles

Since \(x\parallel y\) and \(w\) is a transversal, \(\angle5\) and \(\angle10\) are same - side interior angles.

Step2: Use the property of same - side interior angles

The sum of same - side interior angles is \(180^{\circ}\). So, \(m\angle5 + m\angle10=180^{\circ}\).

Step3: Solve for \(m\angle5\)

Given \(m\angle10 = 105^{\circ}\), then \(m\angle5=180^{\circ}-m\angle10\).
Substitute \(m\angle10 = 105^{\circ}\) into the equation: \(m\angle5 = 180^{\circ}-105^{\circ}=75^{\circ}\).

Answer:

\(75\)