The sum of all interior angles in a polygon is
180(n-2), where n = sides, well, this is a QUADrilateral, so it has 4 sides, so the total is 360°.
now, let's find what angle C is first,

now, recall the "inscribed quadrilateral conjecture", where opposite angles are "supplementary angles", thus
Answer:
Ayush's route is 0.7 km or 700m longer than Sumit route.
Step-by-step explanation:
Ayush's route is 1km 2hm long while sumit route is 2hm 30dam.
We know that,
1 km = 10 hm
1 dam = 0.1 hm
Using these conversions we get
Ayush's route = 1km 2hm = (1×10) hm + 2 hm = 12 hm
Sumit route = 2hm 30dam = 2 hm + (30×0.1) hm = 2 hm + 3 hm = 5 hm
Ayush's route is longer.
Difference = 12 hm - 5 hm = 7 hm = 0.7 km [1 km = 10 hm]
Hence, Ayush's route is 0.7 km or 700 m longer than Sumit route.
The number of the cupcakes sold that day that were vanilla flavored is 172.
<h3>How do we calculate a number from a percentage?</h3>
The number of the cupcakes sold that day that were vanilla flavored can be calculated using the following formula:
Number of vanilla flavored cupcakes sold = Total number of cupcakes sold * Percentage that were vanilla flavored .............. (1)
Substituting the relevant values into equation (1), we have:
Number of vanilla flavored cupcakes sold = 400 * 43% = 172
Learn more about percentages here: brainly.com/question/14801224.
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