Angles ratio

In an ABC triangle, 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:

Correct answer:

β =  50 °

Step-by-step explanation:

c<b<a ; α>β>γ 9x>5x>4x  β:γ:α= 5:4:9 = 5x:4x:9x α:β:γ = 9x:5x:4x  α+β+γ = 180    x=5+4+9180=10   β=5 x=5 10=50



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







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

You need to know the following knowledge to solve this word math problem:

algebraplanimetricsbasic operations and conceptsUnits of physical quantitiesGrade of the word problem

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

Related math problems and questions: