Question 1:
The shape is an irregular hexagon
The sum of interior angles of a hexagon is given by (number of sides - 2) × 180°
A hexagon has 6 sides, hence number of side is = 6
Sum of interior angle = (6 - 2) × 180 = 4 × 180 = 720°
The size of angle x° = 720 - (112 + 120 + 100 + 128 + 133)
The size of angle x° = 720 - 593
The size of angle x° = 127°
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Question 2
The sum of exterior angles of any polygon is 360°
If the polygon is a regular polygon, the length of its sides will all be equal and the size of the exterior angles will also be equal.
Octagon has eight sides
A regular octagon has eight equal exterior angles
The size of one exterior angle in a regular octagon is 360 ÷ 8 = 45°