Internal and external angles

Calculate the remaining internal and external angles of a triangle, if you know the internal angle γ (gamma) = 34 degrees and one external angle is 78 degrees and 40 '. Determine what kind of triangle it is from the size of its angles.

Result

α =  101.333 °
β =  44.667 °
γ =  34 °
α' =  78.667 °
β' =  135.333 °
γ' =  146 °

Solution:

α=180(78+40/60)=101.333=10120\alpha =180-(78+40/60) = 101.333 ^\circ = 101^\circ 20'
β=180(180(78+40/60)+34)=44.667=4440\beta =180-(180-(78+40/60)+34) = 44.667 ^\circ = 44^\circ 40'
γ=34=34\gamma =34 = 34 ^\circ
α=78+40/60=78.667=7840\alpha '=78+40/60 = 78.667 ^\circ = 78^\circ 40'
β=180(78+40/60)+34=135.333=13520\beta '=180-(78+40/60)+34 = 135.333 ^\circ = 135^\circ 20'
γ=18034=146\gamma '=180-34 = 146 ^\circ



Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!





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

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




Tips to related online calculators
See also our trigonometric triangle calculator.

Following knowledge from mathematics are needed to solve this word math problem:

Next similar math problems:

  1. Triangle radians
    triangle-base The size of two internal angles of a triangle ABC are α=6/18π and β=7/18π. Calculate the size of the third angle.
  2. Angles
    angles_1 The outer angle of the triangle ABC at the vertex A is 114°12'. The outer angle at the vertex B is 139°18'. What size is the internal angle at the vertex C?
  3. Angles of a triangle
    triangles_9 In the triangle ABC, the angle beta is 15° greater than the angle alpha. The remaining angle is 30° greater than the sum of the angles alpha and beta. Calculate the angles of a triangle.
  4. Angles in triangle
    angles_triangle.JPG Calculate the alpha angle in the triangle if beta is 61 degrees and 98 gamma degrees.
  5. Outer angles
    triangle_1111_3 The outer angle of the triangle ABC at the A vertex is 71°40 ' outer angle at the vertx B is 136°50'. What size has the inner triangle angle at the vertex C?
  6. Find the 9
    obtuse_triangle_1 Find the missing angle in the triangle and then name triangle. Angles are: 95, 2x+15, x+3
  7. Complementary angles
    angles_2 Two angles are complementary. If one angle measures 10°, what is the measure of the second angle?
  8. Isosceles trapezoid v3
    rovnobezky_uhly In an isosceles trapezoid ABCD is the size of the angle β = 81° Determine size of angles α, γ and δ.
  9. Type of triangle
    237_triangle How do I find the triangle type if the angle ratio is 2:3:7 ?
  10. Chord
    chord_1 Point on the circle is the end point of diameter and end point of chord length of radius. What angle between chord and diameter?
  11. Obtuse angle
    UholZSobr2 Which obtuse angle is creating clocks at 17:00?
  12. Slope
    slope_1 Find the slope of the line: x=t and y=1+t.
  13. Degrees to radians
    angle Convert magnitude of the angle α = 9°39'15" to radians:
  14. Center traverse
    trianles It is true that the middle traverse bisects the triangle?
  15. Enrollment
    enrollment The enrollment at a local college increased 4% over last year's enrollment of 8548. Find the increase in enrollment (x1) and the current enrollment (x2).
  16. Candy
    friends Peter had a sachet of candy. He wanted to share with his friends. If he gave them 30 candies, he would have 62 candies. If he gave them 40 candies, he would miss 8 candies. How many friends did Peter have?
  17. Cancer
    cancer Of the 80 people 50 people ill cancer. What percentage of people isn't ill?