Answer:
a = 120°
b = 60°
Step-by-step explanation:
Angle a and 60° are suplementary. The sum of supplementary angles is 180° (straight angle).
a + 60° = 180°
a = 180° - 60°
a = 120°
The sum of angles in the quadrilateral is 360°. Notice how two of the angles in the quadrilateral are marked as right angles (angles marked with a square). Each of them is 90°.
b + 90° + a + 90° = 360°
Substitute a with the value calculated in the previous step.
b + 90° + 120° + 90° = 360°
Solve for b.
b + 300° = 360°
b = 60°
Based on the table (see attachment), the time which corresponds to the mode of this data set is: B. 9:00 P.M.
<h3>What is mode?</h3>A mode simply refers to a statistical term that is used to denote the value that appears most often or occurs repeatedly in a given data set.
This ultimately implies that, a mode represents the value (number) with the highest frequency and this is 9:00 P.M with a frequency of 25.
Read more on mode here: brainly.com/question/542771
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