Given:
Measure of the internal angles of the regular polygon
To find:
The missing measure of angle x.
Solution:
The clear image of the question is attached below.
Number of sides (n) = 8
Sum of interior angles of a regular polygon:
Sum = (n - 2) × 180°
Substitute n = 8.
105° + 110° + 150° + 125° + 110° + 159° + 160° + x = (8 - 2) × 180°
919° + x = 6 × 180°
919° + x = 1080°
Subtract 919° from both sides.
919° + x - 919° = 1080° - 919°
x = 161°
The measure of the internal angle x is 161°.
