This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Here are the solutions to the questions: 8. Step 1: Determine the total sum of interior angles of a heptagon. A heptagon has n=7 sides. The sum of interior angles is given by the formula (n-2) × 180^. Sum = (7-2) × 180^ = 5 × 180^ = 900^ Step 2: Find the sum of the remaining two angles. The sum of 5 angles is given as 780^. Sum of remaining 2 angles = Total sum - Sum of 5 angles Sum of remaining 2 angles = 900^ - 780^ = 120^ Step 3: Calculate the value of each of the two equal angles. Since the other two angles are equal, divide their sum by 2. Value of each angle = (120^)/(2) = 60^ The value of each of the other two angles is 60^. 9. Step 1: Determine the number of sides of a decagon. A decagon has n=10 sides. Step 2: Calculate the sum of interior angles of a decagon. Using the formula (n-2) × 180^: Sum = (10-2) × 180^ = 8 × 180^ = 1440^ The sum of angles of a decagon equals 1440^. 10. A polygon with nine sides is called a nonagon. A polygon with nine sides is called a nonagon. Last free one today — make it count tomorrow, or type /upgrade for unlimited.