Question

please anyone solve these questions 15 to 17 please and if anyone do not know please don't answer useless answers ​

Answer 1

Answer:

question 15

ans) Number the vertices with consecutive integers 1 through 15. Let the edge (side) of the polygon connecting vertex i and vertex i+1 be called edge i, for all i (1 <= i <=14), and let the edge connecting vertices 15 and 1 be called 15. Then, if you imagine walking clockwise around the periphery of the polygon, from vertex 1 back to vertex 1, you will turn to the right 15 times. The angles through which you have turned are the exterior angles of the polygon.

Since the polygon is regular, all sides and angles are equal, so each turn at each vertex is the same, and of size 360°/15 = 24° degrees. That is, since you've returned to the starting point you must have completely turned around, i.e. turned 360°. Now, if you turn 15° to the right at each vertex, the amount you didn't turn, i.e. the size of the interior angle, is 180-24=156°.

16 ) one angle is 110 and another is 70

17)Sum of all four angles = 360° 

One angle = 111° 

Let measure of other three angles = x (They are equal)

111° + 3x = 360° 

3x = 360° - 111° 

3x = 249

x = 249/3 

x = 83

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