find the value of x 75 hexagon​

Step-by-step explanation:To find the value of \( x \) in a 75-sided hexagon, we first need to clarify the context. In a regular hexagon, which is a polygon with six sides, each internal angle is always \(120^\circ\). However, a 75-sided polygon (or 75-gon) is not a hexagon. If you are referring to a regular 75-sided polygon, then:1. Calculate the internal angle of a regular 75-sided polygon: \[ \text{Internal angle} = \frac{(n - 2) \times 180^\circ}{n} \] where \( n \) is the number of sides. For a 75-sided polygon: \[ \text{Internal angle} = \frac{(75 - 2) \times 180^\circ}{75} \] \[ \text{Internal angle} = \frac{73 \times 180^\circ}{75} \] \[ \text{Internal angle} = 174.4^\circ \]2. Sum of the internal angles: The sum of the internal angles of an \( n \)-sided polygon is: \[ \text{Sum of internal angles} = (n - 2) \times 180^\circ \] For a 75-sided polygon: \[ \text{Sum of internal angles} = (75 - 2) \times 180^\circ \] \[ \text{Sum of internal angles} = 73 \times 180^\circ \] \[ \text{Sum of internal angles} = 13,140^\circ \]If you were actually referring to a regular hexagon, the value of the internal angle is \( 120^\circ \) and the sum of the internal angles of a hexagon is \( 720^\circ \).

Answered by npcethan124 | 2024-09-01