Two angles

The triangles ABC and A'B'C 'are similar. In the ABC triangle, the two angles are 25° and 65°. Explain why in the triangle A'B'C 'is the sum of two angles of 90 degrees.

Result

x =  90 °

Solution:

A=25 ∘ B=65 ∘ C=180−(A+B)=180−(25+65)=90 ∘  x=A+B=25+65=90=90∘A=25 \ ^\circ \ \\ B=65 \ ^\circ \ \\ C=180 - (A+B)=180 - (25+65)=90 \ ^\circ \ \\ \ \\ x=A+B=25+65=90=90 ^\circ

Try another example


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. Triangles
    triangles_6 Find out whether given sizes of the angles can be interior angles of a triangle: a) 23°10',84°30',72°20' b) 90°,41°33',48°37' c) 14°51',90°,75°49' d) 58°58',59°59',60°3'
  2. Angles in triangle
    angles_triangle.JPG Calculate the alpha angle in the triangle if beta is 61 degrees and 98 gamma degrees.
  3. 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.
  4. 3-bracket 3
    triangle_3 Two angles in a triangle are 90° and 60°. Has triangle at least two equal sides?
  5. Rectangular trapezoid
    trapezoids How many inner right angles has a rectangular trapezoid?
  6. Similarity
    similar_triangle Are two right triangles similar to each other if the first one has a acute angle 70° and second one has acute angle 20°?
  7. Parallelogram
    rovnobeznik_2 In the parallelogram we know one internal angle 67°33`. Calculate the other internal angles.
  8. Rhombus angles
    rhombus2 If one angle in the rhombus is 159°, what is it neighboring angle in rhombus?
  9. Angles 1
    angles It is true neighboring angles have not common arm?
  10. 3-bracket
    triangle2 May be the largest angle in the triangle less than 20°?
  11. 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?
  12. Diagonal
    rhombus Can a rhombus have the same length diagonal and side?
  13. QuizQ
    green_triangle_1 An isosceles triangle has two sides of length 7 km and 39 km. How long is a third side?
  14. Midpoints
    sierpinski_1 Triangle whose sides are midpoints of sides of triangle ABC has a perimeter 45. How long is perimeter of triangle ABC?
  15. Write 2
    fractions_12 Write 791 thousandths as fraction in expanded form.
  16. The diagram
    cone_8 The diagram is a cone of radius 8cm and height 10cm. The diameter of the base is. ..
  17. Pizza 4
    pizza_6 Marcus ate half pizza on monday night. He than ate one third of the remaining pizza on Tuesday. Which of the following expressions show how much pizza marcus ate in total?