Question

angle 6 is 110°.
what is the measure of ∠2?
m∠2 = ?°
answer in degrees.

Explanation:

Step1: Find the measure of ∠5

Since ∠5 and ∠6 are supplementary angles (they form a linear pair), we use the formula \(m\angle5 + m\angle6=180^{\circ}\).
Substituting \(m\angle6 = 110^{\circ}\), we get \(m\angle5=180^{\circ}- 110^{\circ}=70^{\circ}\).

Step2: Use the property of corresponding angles

∠2 and ∠5 are corresponding angles. Corresponding angles formed by parallel lines and a transversal are equal.
So, \(m\angle2=m\angle5\).

Answer:

\(70\)