angles in quadrilateral

What size have angles in quadrilateral (4-gon) if they are in a ratio of 8: 9: 10: 13?

Correct answer:

a =  72 °
b =  81 °
c =  90 °
d =  117 °

Step-by-step explanation:

a=360/(8+9+10+13) 8=72°
b=360/(8+9+10+13) 9=81°
c=360/(8+9+10+13) 10=90°
d=360/(8+9+10+13) 13=117°



Did you find an error or inaccuracy? Feel free to write us. Thank you!



avatar







Tips to related online calculators
Check out our ratio calculator.
Do you have a linear equation or system of equations and looking for its solution? Or do you have a quadratic equation?

 
We encourage you to watch this tutorial video on this math problem: video1

Related math problems and questions:

  • N-gon angles
    ngon2 What is the sum of interior angles 8-gon? What is the internal angle of a regular convex 8-polygon?
  • 9-gon
    9gon Sum of interiol angles of 9-gon is:
  • n-gon
    ngon Gabo draws n-gon, which angles are consecutive members of an arithmetic sequence. The smallest angle is 70° biggest 170°. How many sides have Gabo's n-gon?
  • Triangle angles
    triangles The angles α, β, γ in triangle ABC are in the ratio 6:2:6. Calculate size of angles.
  • Angles in ratio
    angles The size of the angles of the triangle are in ratio x: y = 7: 5 and the angle z is 42° lower than the angle y. Find size of the angles x, y, z.
  • Angles ratio
    3angle In a triangle ABC, is true relationship c is less than b, and b is less than a. Internal angles of the triangle are in the ratio 5:4:9. The size of the internal angle beta is:
  • Similarity n-gon
    podobnost 9-gones ABCDEFGHI and A'B'C'D'E'F'G'H'I' are similar. The area of 9-gon ABCDEFGHI is S1=190 dm2 and the diagonal length GD is 32 dm. Calculate area of the 9-gon A'B'C'D'E'F'G'H'I' if G'D' = 13 dm.
  • Interior angles
    circle_inscribed_polygon In a quadrilateral ABCD, whose vertices lie on some circle, the angle at vertex A is 58 degrees and the angle at vertex B is 134 degrees. Calculate the sizes of the remaining interior angles.
  • Smallest internal angle
    angles Calculate what size has the smallest internal angle of the triangle if values of angles α:β:γ = 3:4:8
  • 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?
  • Angles of the triangle
    angles ABC is a triangle. The size of the angles alpha, beta are in a ratio 4: 7. The angle gamma is greater than the angle alpha by a quarter of a straight angle. Determine angles of the triangle ABC.
  • Internal angles
    angle One internal angle of the triangle JAR is 25 degrees. The difference is the size of the two others is 15°. Identify the size of these angles.
  • The second
    triangle The second angle of a triangle is the same size as the first angle. The third angle is 12 degrees larger than the first angle. How large are the angles?
  • Six-sided polygon
    hexagon-irregular 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.
  • Similarity
    polygons-diagonals The area of the regular 10-gon is 563 cm2. The area of similar 10-gon is 606 dm2. What is the coefficient of similarity.
  • Regular n-gon
    10gon_polygon In a regular n-angle polygon, the internal angle is 144 degrees. Find the number n indicating the number of sides of this polygon.
  • Interior angles
    triangles Calculate the interior angles of a triangle that are in the ratio 2: 3: 4.