Answer:
n = 135 degrees ( ° ) ,
m = 45 degrees ( ° )
Step-by-step explanation:
* Sorry I didn't answer this before *
1. In this figure we can see that this visual is a representation of an octagon, provided it's 8 sides.
2. Knowing this, let us split this figure into triangle 180 degrees each ⇒ compute the total interior angles in degrees.
3. If you were to draw lines from one vertex to any other non-adjacent vertices, it would be that 6 triangles are formed.
4. One triangle ⇒ 180 degrees ( ° ) so that this octagon ⇒ 180° * number of triangles, or ⇒ 180 * 6 = 1080°
5. Knowing that this shape is a regular polygon, all angles are congruent such that if x represents one interior angle ⇒ 8x = 1080, ⇒ x = 135°. As n acts as one of the interior angles in this figure ⇒ n = 135 degrees ( ° )
6. Now through supplementary angles, the interior angle adjacent to angle m would form a linear pair, adding to 180°.
7. This would mean that m + interior angle = 180, and as all interior angles were found to be 135 degrees ⇒ m + 132 = 180 ⇒ m = 45 degrees ( ° )
