an octagon has angles of 120 degrees ,140 degrees, 170 degrees, and 165 degrees. the other angles are all equal. find their measures
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Answer:
121.25°
Step-by-step explanation:
(n-2)*180 - is the sum of internal angles of a n-sided polygon
Sum of internal angles of an octagon is (8-2)*180°= 1080°
We have angles: 120°, 140°, 170°, 165° and the rest 4 are equal, if we call them x, then equation we got:
- 120°+140°+170°+165°+4x= 1080°
- 4x+ 595°= 1080°
- 4x= 1080°- 595°
- 4x= 485°
- x= 485°/4
- x= 121.25°
The other angles each measure: 121.25°
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