Question

1. what is the measure of /1?

Explanation:

Step1: Find the measure of ∠6

∠6 and the \(93^{\circ}\) angle are vertical angles. Vertical angles are equal. So, \(∠6 = 93^{\circ}\).

Step2: Find the measure of ∠5

∠5 and ∠6 are supplementary angles (they form a linear pair). So, \(∠5+∠6 = 180^{\circ}\). Then \(∠5=180^{\circ}-93^{\circ}=87^{\circ}\).

Step3: Find the measure of ∠1

∠1 and ∠5 are corresponding angles. When two parallel lines are cut by a transversal, corresponding angles are equal. So, \(∠1 = ∠5\).

Answer:

\(87^{\circ}\)