Question

multiple answer 10 points given lines a and b are parallel and m<8 = 103 degrees, which of the following angles will also equal 103 degrees? <3 <1 <5 <2 <7 <6 <4

Explanation:

Step1: Vertical angles

Vertical angles are equal. So, \(m\angle1 = m\angle7\) and \(m\angle2 = m\angle8\). Since \(m\angle8 = 103^{\circ}\), then \(m\angle2=103^{\circ}\).

Step2: Corresponding angles

When two parallel lines are cut by a transversal, corresponding angles are equal. \(\angle2\) and \(\angle6\) are corresponding angles. So, \(m\angle6 = m\angle2 = 103^{\circ}\).

Step3: Alternate - exterior angles

\(\angle8\) and \(\angle4\) are alternate - exterior angles. When two parallel lines are cut by a transversal, alternate - exterior angles are equal. So, \(m\angle4=m\angle8 = 103^{\circ}\).

Answer:

\(\angle2\), \(\angle4\), \(\angle6\)