Question

If a polygon has 5 interior angles each of 172 degrees and remaining interior angles of 160 degrees then number of sides of the polygon is
a) 10
b) 22
c) 27
d) 21

Answer 1

please mark brainliest

Answer 2

Answer:

21

Step-by-step explanation:

always take exterior angle as exterior angle sum does not depends on sides

5 interior sides of 172 degrees means it will have 5 exterior angles of 8 degrees each

total exterior angles sum by these 5 sides is 40

we need 320 more as sum of all exterior angles in polygon is 360

that 320 will be balanced by the 160 degrees angles with each exterior angle of 20 degrees

320/20=16

hence total sides are 5+16=21