12 sided shape

Asked by maham237 @ 31/12/2020 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 @ 31/12/2020

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

= $\frac{(n-2)*180}{n}$ , 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 = $\frac{(12-2)*180}{12}$

∴ The size of ∠PQR = $\frac{(10)*180}{12}$

∴ The size of ∠PQR = $\frac{1800}{12}=150$

∴ The size of angle PQR = 150°

* The size of angle PQR is 150°

What shape has 12 sides

Asked by maham237 @ 16/02/2021 in Mathematics viewed by 282 persons

Whats a shape with 12 sides and 12 vertices

For an angle θ with the point (12, −5) on its terminating side, what is the value of cosine?

Asked by maham237 @ 30/11/2020 in Mathematics viewed by 394 persons

Given ab explain how to construct a square with sides of length ab

Asked by maham237 @ 26/12/2020 in Mathematics viewed by 320 persons

Please Hhhellp!! Given AB, explain how to construct a square with sides of length AB

For an angle θ with the point (16, −30) on its terminating side, what is the value of cosine?

Asked by maham237 @ 23/12/2020 in Mathematics viewed by 304 persons

For an angle θ with the point (16, −30) on its terminating side, what is the value of cosine?

Which quantity or quantities must always be the same on both sides of a chemical equation?

Asked by maham237 @ 22/12/2020 in Chemistry viewed by 266 persons

Which quantity or quantities must always be the same on both sides of a chemical equation? (a) the number of atoms of each kind (b) the number of molecules of …

What is the charge associated with each side of the hcl molecule?

Asked by maham237 @ 02/12/2020 in Chemistry viewed by 356 persons

For an angle θ with the point (5, -12) on its terminating side, what is the value of cosine?

Asked by maham237 @ 28/11/2020 in Mathematics viewed by 314 persons

Which shapes have at least one pair of perpendicular sides

Asked by admin @ 03/08/2021 in Math viewed by 308 persons

Which shape has at least one pair of perpendicular sides

What shape has 3 sides

Asked by maham237 @ 16/02/2021 in Mathematics viewed by 263 persons

Identify the converse of this statement: If a shape has 3 sides, then it's a triangle. Question 8 options: If a shape is a triangle, then it has 3 sides. …

What shape has 5 sides and 2 right angles

Asked by maham237 @ 13/01/2021 in Mathematics viewed by 275 persons

i have only 2 right angles and no line segments of equal length. what type of quadrilateral could i be?

A patio in the shape of a rectangle, is fenced on all sides with 134 feet of fencing. the patio is 5 feet less wide than it is long.

Asked by maham237 @ 13/01/2021 in Mathematics viewed by 814 persons

Seven sides shape

Asked by maham237 @ 07/01/2021 in Mathematics viewed by 236 persons

Which type of polygon has seven sides?

Shape has 5 sides and 5 angles

Asked by maham237 @ 07/01/2021 in Mathematics viewed by 345 persons

Mark thinks an hexagon has 5 sides and 5 angles is Mark correct explain

What shapes have 4 congruent sides

Asked by maham237 @ 07/01/2021 in Mathematics viewed by 268 persons

Which shape or shapes have 4 congruent sides, two sets of parallel sides, and at least one right angle? A) square B) rhombus C) rhombus and square D) rectangle, rhombus, …