Question

опуклому многокутнику чотири кути дорівнюють по 160°, а реш- та - по 145°. Скільки діагоналей можна провести в цыому много- кутнику?​

Answer 1

Ответ:

145+160=305 305:5=61 прости есле не правильно

Answer 2

Number of Diagonals in a Convex Polygon

To determine the number of diagonals that can be drawn in a convex polygon, we can use the formula:

Number of diagonals = (n * (n - 3)) / 2

Where 'n' represents the number of sides of the polygon.

In this case, we are given that a convex polygon has four angles of 160° each and two angles of 145° each. To find the number of diagonals, we need to determine the number of sides of the polygon.

Let's calculate the number of sides of the polygon:

1. The sum of all the angles in a polygon can be calculated using the formula: Sum of angles = (n - 2) * 180°. 2. We know that the sum of the angles in this polygon is equal to the sum of the given angles: Sum of angles = 4 * 160° + 2 * 145°. 3. Solving this equation, we find: Sum of angles = 640° + 290° = 930°. 4. Using the formula for the sum of angles, we can calculate the number of sides: (n - 2) * 180° = 930°. - Simplifying the equation: n - 2 = 930° / 180°. - Solving for 'n': n - 2 = 5.1667. - Rounding up to the nearest whole number, we get: n = 6.

Now that we know the polygon has 6 sides, we can calculate the number of diagonals using the formula mentioned earlier:

Number of diagonals = (n * (n - 3)) / 2 = (6 * (6 - 3)) / 2 = 9

Therefore, in this polygon, it is possible to draw 9 diagonals.