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ololo11 [35]
3 years ago
5

Find x and y i will give brainliest

Mathematics
2 answers:
Serga [27]3 years ago
6 0

Answer: N= 135, M=45.

Step-by-step explanation:The formula to find the degree inside of a shape is: (n-2)180. This is an octagon, so it has 8 sides, plug this in for n.

8-2 * 180

1080                              divide by 8 to get the value of n

n=135

The formula for an angle outside of the shape is:

360/n   n is still eight, so plug this in for n

360/8

m=45

sashaice [31]3 years ago
5 0

Answer:

<em>n = 135 degrees ( ° ) ,</em>

<em>m = 45 degrees ( ° )</em>

Step-by-step explanation:

<em>* Sorry I didn't answer this before *</em>

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 ⇒ <em>n = 135 degrees ( ° )</em>

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 ⇒ <em>m = 45 degrees ( ° )</em>

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