Question

1. from the figure to the left:

∠a & ∠b are?

supplementary

a linear pair

vertical angles

adjacent angles

Explanation:

• Supplementary angles: Two angles are supplementary if their sum is \(180^{\circ}\). There is no indication that \(\angle a+\angle b = 180^{\circ}\) from the given figure.
• Linear pair: A linear pair of angles is formed when two adjacent angles are supplementary (they form a straight - line). \(\angle a\) and \(\angle b\) do not form a straight - line.
• Vertical angles: Vertical angles are formed when two lines intersect. \(\angle a\) and \(\angle b\) are not formed by the intersection of two lines.
• Adjacent angles: Adjacent angles have a common vertex and a common side. \(\angle a\) and \(\angle b\) share a common vertex and a common side.

Answer:

Adjacent angles