each interior angle of a regular polygon measures (10x+10) and each exterior angle measures(3x-12) how many sides does the polyg
1 answer:
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let's firstly convert it to an improper fraction.
Answer: 142°15'
Explanation:
Supplementary angles are angles that add up to make a straight angle ().
Therefore, we must find the angle ∠B such that
∠A + ∠B = 180° (1)
We know that ∠A = 37°45', so we can re-arrange equation (1) to find the magnitude of ∠B:
∠B = 180° - ∠A = 180° - 37°45' = 142°15'
So, the correct answer is
142°15'