Identify angles at a point and one whole turn - Reasoning

The task at hand involves using reasoning skills to calculate the values of three missing angles at a point, given that one of the angles is 43 degrees. The information provided states that angles 'a' and 'c' are equal, and angles 'b' and 'd' are also equal. With angle 'a' already known to be 43 degrees and angle 'b' given as 137 degrees, we can deduce the values of the remaining angles without the need for physical measurement.

To calculate angle 'c', we use the fact that it is equal to angle 'a', which is 43 degrees. For angle 'd', we know it must be equal to angle 'b', which is 137 degrees. Since angles at a point add up to 360 degrees, we can find the value of angle 'c' by subtracting the sum of angles 'a', 'b', and 'd' from 360 degrees. That is, 360 - (43 + 137 + 137) degrees, which leaves us with the value for angle 'c'. Through logical reasoning and the properties of angles at a point, we can successfully calculate the three missing angles without the need for any measuring tools.