Question

day 5 – friday, september 6th
two-column proof:

• given: ∠1 and ∠2 are supplementary,

m∠1 = 70°

• prove: m∠2 = 110°

Explanation:

Step1: Recall supplementary angles definition

Supplementary angles sum to \(180^\circ\), so \(m\angle1 + m\angle2 = 180^\circ\).

Step2: Substitute \(m\angle1 = 70^\circ\)

Substitute into the equation: \(70^\circ + m\angle2 = 180^\circ\).

Step3: Solve for \(m\angle2\)

Subtract \(70^\circ\) from both sides: \(m\angle2 = 180^\circ - 70^\circ = 110^\circ\).

Answer:

\(m\angle2 = 110^\circ\) is proven.