Find the angles of an isosceles trapezoid if one of its angles is 70 degrees.

Since the sum of the angles of a convex n-gon is 180 * (n-2), we can say that the sum of the angles in a trapezoid is 180 * 2 = 360 degrees. Since we have an isosceles trapezoid by condition, then the angles are pairwise equal, if one is 70 degrees, then there is another angle of 70 degrees. Let’s find another pair like:
360 – 2 * 70 = 220.
We get that the angles are 70 and 110 degrees in pairs.
Answer: 70, 70, 110, 110.



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