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2. in the polygon pictured, which angles are supplementary? $circ$ $c^{…

Question

  1. in the polygon pictured, which angles are supplementary?

$circ$ $c^{circ}$ and $i^{circ}$.
$circ$ $c^{circ}$ and $d^{circ}$
$circ$ $a^{circ}$ and $k^{circ}$
$circ$ $g^{circ}$ and $f^{circ}$

Explanation:

Step1: Define supplementary angles

Supplementary angles sum to $180^\circ$.

Step2: Analyze each option

  • Option 1 ($c^\circ$ and $i^\circ$): No linear pair/parallel link.
  • Option 2 ($c^\circ$ and $d^\circ$): They form a linear pair, so $c + d = 180^\circ$.
  • Option 3 ($a^\circ$ and $k^\circ$): No supplementary relationship.
  • Option 4 ($g^\circ$ and $f^\circ$): No supplementary relationship.

Answer:

c° and d°