What is the sum of the measures of the exterior angles of any convex polygon
2 answers:
Answer:
360 degrees is sum of the measures of the exterior angles of any convex polygon.
Step-by-step explanation:
Convex Polygon:
- A convex polygon is a polygon with all its interior angle less than 180 degrees.
- Thus, all the vertices of the polygon will be away from the interior of the polygon.
- If all the angles are not less than 180 degrees then it becomes concave polygon.
- Example: Triangle is a convex polygon with three sides.
Exterior angle sum Property:
- If we extend the side of the polygon, then the angle formed by the extended side and polygon side is an exterior angle.
- The sum of all the exterior angles if a convex polygon is 360 degrees.
- If this convex polygon is a regular polygon, then the sum is 360 degrees and each exterior angle is equal to
, where n is the number of sides in regular polygon.
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Answer:
It takes 1 seconds for push-ups and 3 seconds for sit-ups for Mei to do exercise.
Step-by-step explanation:
Given:
Let the time taken for push-ups be 'x'.
Let the time taken for sit-ups be 'y'.
Now Given:
17 push-ups and 6 sit-ups, it takes a total of 35 seconds.
So we can say that;
Also Given:
41 seconds to do 20 push-ups and 7 sit-ups.
so we can say that;
Now Multiplying equation 1 by 7 we get;
Now Multiplying equation 2 by 6 we get;
Now Subtracting equation 3 from equation 4 we get;
Now substituting the value of x in equation 1 we get;
Hence It takes 1 seconds for push-ups and 3 seconds for sit-ups for Mei to do exercise.