Question

3)
if m∠a = 93, what is the m∠b?
87
180
93
90

Explanation:

Step1: Identify Angle Relationship

From the diagram, ∠a and ∠b are same - side interior angles (or supplementary angles as the lines are parallel, forming a linear pair - like relationship here). So, \(m\angle a + m\angle b=180^{\circ}\).

Step2: Calculate \(m\angle b\)

Given \(m\angle a = 93^{\circ}\), substitute into the equation: \(m\angle b=180^{\circ}-m\angle a\).
\(m\angle b = 180 - 93=87^{\circ}\).

Answer:

\(87^{\circ}\)