Question

what type of angles are ∠1 & ∠2? choose your answer...
are these angles congruent or supplementary? choose your answer...
if m∠1 = 130°, find ∠2 choose your answer...

Explanation:

Step1: Identify the type of angles

∠1 and ∠2 are adjacent angles that form a linear pair. By the definition of a linear pair, they are supplementary.

Step2: Calculate \(m\angle2\)

Since \(m\angle1 + m\angle2=180^{\circ}\) (supplementary angles) and \(m\angle1 = 130^{\circ}\), we substitute the value of \(m\angle1\) into the equation:
\(130^{\circ}+m\angle2 = 180^{\circ}\)
Subtract \(130^{\circ}\) from both sides:
\(m\angle2=180^{\circ}- 130^{\circ}\)
\(m\angle2 = 50^{\circ}\)

Answer:

• Type of angles: Supplementary
• \(m\angle2 = 50^{\circ}\)