Six-sided polygon

In a six-sided polygon. The first two angles are equal, the third angle is twice (the equal angles), two other angles are trice the equal angle, while the last angle is a right angle. Find the value of each angle.


A =  63
B =  63
C =  126
D =  189
E =  189
F =  90


C = 2B
D = E
D = 3A
F = 90
A+B+C+D+E+F = (6-2) * 180

A-B = 0
2B-C = 0
D-E = 0
3A-D = 0
F = 90
A+B+C+D+E+F = 720

A = 63
B = 63
C = 126
D = 189
E = 189
F = 90

Calculated by our linear equations calculator.

Leave us a comment of example and its solution (i.e. if it is still somewhat unclear...):

Showing 0 comments:
1st comment
Be the first to comment!

To solve this example are needed these knowledge from mathematics:

Do you have a system of equations and looking for calculator system of linear equations? See also our trigonometric triangle calculator.

Next similar examples:

  1. In a 2
    angles_7 In a thirteen sided polygon, the sum of five angles is 1274°, four of the eight angles remaining are equal and the other four are 18° less than each of the equal angles. Find the angles. .
  2. Rotatable tower
    veza Rotatable tower situated in the city center has ground shape of a regular polygon. If the tower is rotated by 14.4° around its centerpiece it looks from the side same. Your task is to calculate at least how many vertices can have a ground plan view of the.
  3. Largest angle of the triangle
    triangle_1111_2 What is the largest angle of the triangle if the second angle is 10° greater than twice the first and the third is 30° smaller than the second?
  4. Angles
    triangle The triangle is one outer angle 56°30' and one internal angle 46°24'. Calculate the other internal angles of a triangle.
  5. A triangle
    triangle1_1 A triangle has an angle that is 63.1 other 2 are in ratio of 2:5 What are the measurements of the two angles?
  6. Angles
    triangle_1111_1 In the triangle ABC, the ratio of angles is: a:b = 4: 5. The angle c is 36°. How big are the angles a, b?
  7. Internal angles IST
    licho_2 Determine internal angles of isosceles trapezium ABCD /a, c are the bases/ and if: alpha:gamma = 1:3
  8. 9-gon
    9gon Sum of interiol angles of 9-gon is:
  9. Angles in triangle
    trigonometry The triangle is ratio of the angles β:γ = 6:8. Angle α is 40° greater than β. What are the size of angles of the triangle?
  10. Hexagon
    sestuholnik Draw a regular hexagon inscribed in a circle with radius r=8 cm. What is its perimeter?
  11. Obtuse angle
    UholZSobr2 Which obtuse angle is creating clocks at 17:00?
  12. Combine / add term
    combine Combine like terms 4c+c-7c
  13. Roman numerals +
    rome-italy Add up the number writtens in Roman numerals. Write the results as a decimal number.
  14. Gingerbread
    honey_cakes John decorated 27 gingerbread and Annie 7 more. How many gingerbread decorated Annie?
  15. Linsys2
    linear_eq_3 Solve two equations with two unknowns: 400x+120y=147.2 350x+200y=144
  16. Roman numerals 2+
    rome-italy_1 Add up the number writtens in Roman numerals. Write the results as a roman numbers.
  17. Answer
    juice Mam used 9 red, 9 green apples and 3 pears to prepare juice. How many pieces of fruit used by mom to prepare this juice?