12 sided shape
Asked by maham237 @ in Mathematics viewed by 271 People
PQ and QR are two sides of a regular 12 sided polygon. PR is diagonal of the polygon. Work out the size of angle PQR
Asked by maham237 @ in Mathematics viewed by 271 People
PQ and QR are two sides of a regular 12 sided polygon. PR is diagonal of the polygon. Work out the size of angle PQR
Answered by maham237 @
Answer:
The size of angle PQR is 150°
Step-by-step explanation:
Lets explain how to solve the problem
- A polygon is regular when all its angles are equal and all its sides
are equal
- The measure of each interior angle an any regular polygon
= , where n is the number of its angles or its sides
∵ PQ and QR are two sides of a regular 12 sided polygon
∴ Q is one of its vertex
- We need to find the size of angle PQR
∵ Angle PQR is an interior angle in the regular 12 sided polygon
∴ n = 12
Use the rule above to find the size of the angle PQR
∵ The size of ∠PQR =
∴ The size of ∠PQR =
∴ The size of ∠PQR =
∴ The size of angle PQR = 150°
* The size of angle PQR is 150°
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