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7.
Formula for sum of angles of a polygon having n sides = (n-2)×180°
Let the number of sides be n.
This is a regular polygon so it has all angles same.
156°×n=(n-2)×180°
156n=180n-360
24n=360
n=15
So, this polygon has 15 sides.
8.
Hexagon has 6 sides.
n=6
Sum of angles of polygon = (n-2)×180
=(6-2)×180
=4×180
=720°
Measure of one angle = 720°/6
= 120°
9.
This figure is a hexagon.
Sum of angles in a hexagon = 720°
x+75+x+2x+140+33=720
4x=720-248
4x=472
x=118°
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