Question

enter the correct answer. angle 6 is 110°. what is the measure of ∠1? m∠1 = ?° answer in degrees.

Explanation:

Step1: Find the measure of ∠4

Since ∠6 and ∠4 are corresponding angles (parallel lines cut by a transversal), \(m\angle4 = m\angle6=110^{\circ}\)

Step2: Calculate \(m\angle1\)

\(\angle1\) and \(\angle4\) are supplementary (they form a linear - pair). So \(m\angle1 + m\angle4=180^{\circ}\). Substitute \(m\angle4 = 110^{\circ}\) into the equation: \(m\angle1=180^{\circ}-m\angle4\)
\(m\angle1 = 180 - 110\)

Answer:

\(70\)