Question

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What is the value of X?
Remember to show calculations and formulas used for credit. 

Question 1 options:

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Question 2 (3 points)
 
What is the measure of one of the exterior angles of a regular octagon?
Make sure to show your calculation and formulas used for credit. 

Question 2 options:

Answer 1

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°