Answer:
n = 247°
Explanation:
An exterior angle of a polygon is an angle formed by one side of the polygon and the extension of an adjacent side.
Therefore, in the given diagram, the marked exterior angles are:
- 58°, 29°, 73°, 71° and 62°.
According to the Exterior Angle Sum Theorem, the sum of the exterior angles of any polygon is always 360°.
Therefore, the measure of angle n is the sum of the remaining exterior angle and 180°.
To find the remaining exterior angle, subtract the other exterior angles from 360°:
360° - 58° - 29° - 73° - 71° - 62° = 67°
Therefore, the remaining exterior angle is 67°.
To find ∠n, add this to 180°:
n = 180° + 67° = 247°.
Therefore, the size of angle n is 247°.