Question

use the figure to find the specified angle measure. in the figure, p || q. suppose m∠3 = 105°. find m∠6. m∠6 = select because they are select

Explanation:

Step1: Identify angle - pair relationship

Since \(p\parallel q\), \(\angle3\) and \(\angle6\) are alternate - interior angles.

Step2: Apply the property of alternate - interior angles

Alternate - interior angles formed by two parallel lines and a transversal are congruent. So \(m\angle6=m\angle3\).

Step3: Substitute the given value

Given \(m\angle3 = 105^{\circ}\), then \(m\angle6=105^{\circ}\).

Answer:

\(105^{\circ}\)