Question

1. remember: the 2 arrow heads on the two lines signifies that those lines are ||. what is the measure of ∠a + ∠b 30° 60° 90° 180°

Explanation:

Step1: Use the property of parallel lines and transversal

When two parallel lines are cut by a transversal, we can use the concept of alternate - interior angles and the fact that the sum of angles in a right - angled triangle - related property. Let's assume the right - angled triangle formed. The sum of angles \(a\) and \(b\) is complementary to the angle adjacent to the right angle (formed by the intersection of non - parallel and parallel lines).

Step2: Recall the complementary angle property

In a right - angled triangle (the triangle formed with the right angle of \(90^{\circ}\)), if we consider the angles related to the parallel lines. The sum of \(a\) and \(b\) along with the angle adjacent to the right angle (in the triangle) forms a right angle. So, \(\angle a+\angle b = 90^{\circ}\)

Answer:

\(90^{\circ}\)