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.

Result

Solution:

$\gamma = \pi - \alpha - \beta = \pi - 6/18 - 7/18 \ \\ \gamma = \pi (1 - 6/18 - 7/18) = \dfrac{ 5 }{ 18 } \pi = \dfrac{ 5 }{ 18 } \pi \ \\ \gamma = 0.873 \ \text{ rad }$

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...):

Be the first to comment!

Tips to related online calculators

Next similar math problems:

1. Angles in triangle
Calculate the alpha angle in the triangle if beta is 61 degrees and 98 gamma degrees.
2. Chord
Point on the circle is the end point of diameter and end point of chord length of radius. What angle between chord and diameter?
3. 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.
4. 3-bracket 3
Two angles in a triangle are 90° and 60°. Has triangle at least two equal sides?
5. 3-bracket
May be the largest angle in the triangle less than 20°?
6. Diagonal
Can a rhombus have the same length diagonal and side?
7. QuizQ
An isosceles triangle has two sides of length 7 km and 39 km. How long is a third side?
8. Midpoints
Triangle whose sides are midpoints of sides of triangle ABC has a perimeter 45. How long is perimeter of triangle ABC?
9. Angles 1
It is true neighboring angles have not common arm?
10. Complementary angles
Two angles are complementary. If one angle measures 10°, what is the measure of the second angle?
11. Rhombus angles
If one angle in the rhombus is 159°, what is it neighboring angle in rhombus?
12. Obtuse angle
Which obtuse angle is creating clocks at 17:00?
13. 8 degrees
8 degrees Celsius it cools down by 9 degrees Celsius. What is the resultant temperature?
14. The lowest
The lowest temperature on Thursday was 20°C. The lowest temperature on Saturday was 12°C. What was the difference between the lowest temperatures?
15. Bitoo and Reena
Bitoo ate 3/5 part of an apple and the remaining part was eaten by his sister Reena. How much part of an apple did Renna eat? Who had the larger share? By how much?
16. The temperature 3
The temperature is -12 degrees Fahrenheit. During the following 5 hours the temperature decrease 23 degrees Fahrenheit what is the temperature at 11 pm?
17. Melting point
The melting point of mercury is -36°F and its boiling point is 672°F. What is the difference between the boiling point and the melting point?