One-quarter 13953

Calculate the magnitude of the interior angles of the triangle ABC if alpha = two-fifths beta and alpha = one-quarter gamma.

Correct answer:

α =  24 °
β =  60 °
γ =  96 °

Step-by-step explanation:

α=52 β α=4γ α+β+γ=180  α=2/5 β α=γ/4 α+β+γ=180  5α2β=0 4αγ=0 α+β+γ=180  Row254 Row1Row2 5α2β=0 1.6βγ=0 α+β+γ=180  Row351 Row1Row3 5α2β=0 1.6βγ=0 1.4β+γ=180  Row31.61.4 Row2Row3 5α2β=0 1.6βγ=0 1.875γ=180  γ=1.875180=96 β=1.60+γ=1.60+96=60 α=50+2β=50+2 60=24  α=24 β=60 γ=96

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

Tips for related online calculators
Do you have a linear equation or system of equations and 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:

Units of physical quantities:

Grade of the word problem:

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

Related math problems and questions: