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1 year ago

Find the exterior angle for each

Mathematics

2 answers:

Pavlova-9 [17]1 year ago

7 0

Step-by-step explanation:

In all cases just divide 360° by the number of sides

Thus,for a. 360°/12=30°

choli [55]1 year ago

5 0

Answer:

1. the total triangles of 12 sides are 10 triangles but the exterior angles of a 12 sided polygon is 30° because dodecagon is equal to 150°

2. the total triangles of 18 sides are 16 triangles but the exterior angles of a 18 sided polygon is 20° because octakaidecagon is equal to 360°/18=20°

3. the total triangles of 8 sides are 6 triangles but the exterior angles of a 6 sided polygon is 120° because hexagon is equal to 720°/6=120°

4. the total triangles of 3 sides are 1 triangle but the exterior angles of a 6 sided polygon is 60° because hexagon is equal to 180°/3=60°

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Answer:

Case 1:

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Case 2:

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Step-by-step explanation:

Given

See attachment for illustration of each case

Required

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Case 2:

Using Pythagoras theorem in ANB, we have:

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This gives:

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