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PREVIOUS ANSWER: 155^(@) JUSTBASICS" Scavenger Hunt The sum of the measures of seven out of ten angles in a decagon is 1086^(@). If the three remaining angles are equal in measure, what is the measure of each angle?

PREVIOUS ANSWER:\newline155∘ 155^{\circ} \newlineJUSTBASICS

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Q. PREVIOUS ANSWER:\newline155∘ 155^{\circ} \newlineJUSTBASICS
  1. Calculate total sum: A decagon has 1010 angles, and the sum of the interior angles of a decagon is (10−2)×180(10-2)\times180 degrees.\newlineCalculate the sum of all angles in the decagon.\newline(10−2)×180=8×180=1440(10-2)\times180 = 8\times180 = 1440 degrees.
  2. Find sum of remaining angles: Subtract the sum of the seven given angles from the total sum to find the sum of the remaining three angles. \newline14401440 degrees −- 10861086 degrees == 354354 degrees.
  3. Calculate measure of each angle: Divide the sum of the remaining three angles by 33 to find the measure of each angle since they are equal.\newline354354 degrees // 33 = 118118 degrees.

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