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give one pair of vertical angles and one pair of supplementary angles s…

Question

give one pair of vertical angles and one pair of supplementary angles shown in the figure below. (a) vertical angles: ∠□ and ∠□ (b) supplementary angles: ∠□ and ∠□

Explanation:

Brief Explanations
  • Vertical angles: Vertical angles are pairs of opposite angles formed by the intersection of two lines. In the given figure, \(\angle2\) and \(\angle3\) (or \(\angle1\) and \(\angle4\), \(\angle6\) and \(\angle7\), \(\angle5\) and \(\angle8\)) are opposite each other at the intersection of lines \(l\) and the transversal.
  • Supplementary angles: Supplementary angles are two angles whose sum is \(180^{\circ}\). Adjacent angles that form a linear - pair (e.g., \(\angle1\) and \(\angle2\), \(\angle2\) and \(\angle4\), \(\angle4\) and \(\angle3\), \(\angle3\) and \(\angle1\), \(\angle5\) and \(\angle6\), \(\angle6\) and \(\angle8\), \(\angle8\) and \(\angle7\), \(\angle7\) and \(\angle5\)) are supplementary.

Answer:

(a) Vertical angles: \(\angle2\) and \(\angle3\) (or other valid pairs like \(\angle1\) and \(\angle4\), \(\angle6\) and \(\angle7\), \(\angle5\) and \(\angle8\))
(b) Supplementary angles: \(\angle1\) and \(\angle2\) (or other valid linear - pair pairs)