Question

do-now
∠5 is a complement of ∠6 and m∠5 = 59°. find m∠6

Explanation:

Step1: Recall the definition of complementary angles

Complementary angles sum to \(90^{\circ}\). So, \(m\angle5 + m\angle6=90^{\circ}\).

Step2: Solve for \(m\angle6\)

Given \(m\angle5 = 59^{\circ}\), substitute into the equation: \(m\angle6=90^{\circ}-m\angle5\). Then \(m\angle6 = 90^{\circ}- 59^{\circ}\).

Answer:

\(31^{\circ}\)