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14.1: math talk: comparing angles for each figure, which pair of angles…

Question

14.1: math talk: comparing angles for each figure, which pair of angles appears congruent? how could you check? 1. type a response 2.

Explanation:

Step1: Visual inspection

Visually, in the first - set of angles, $\angle CBA$ and $\angle FED$ appear to have the same opening. In the second - set of angles, $\angle YZM$ and $\angle SRP$ seem to have the same angular measure.

Step2: Measurement check

To confirm, we can use a protractor to measure each angle. If the measures of two angles are equal, then the angles are congruent. For example, if $m\angle CBA = m\angle FED$, then $\angle CBA\cong\angle FED$. Similarly, if $m\angle YZM=m\angle SRP$, then $\angle YZM\cong\angle SRP$.

Answer:

  1. $\angle CBA$ and $\angle FED$ appear congruent. Check by measuring with a protractor.
  2. $\angle YZM$ and $\angle SRP$ appear congruent. Check by measuring with a protractor.