Consider the non-triangle shown below that has side lenghts of 1.6, 1.751 and 2.6 cm and interior angle measures of 0.72, alpha and beta degrees.What is value of alpha and beta01510101641.png

Ayaana Buck

Ayaana Buck

Answered question

2021-01-31

Consider the non-triangle shown below that has side lenghts of 1.6, 1.751 and 2.6 cm and interior angle measures of 0.72, alpha and beta degrees.
What is value of alpha and beta
image

Answer & Explanation

Jayden-James Duffy

Jayden-James Duffy

Skilled2021-02-01Added 91 answers

According to sine law:
sinAa=sinBb=sinCc
Thus, (sinα)/1.6=(sin41.253@)/1.751
sinα=1.6sin41.2531.751
sinα=0.60252
α=37.051
Now, using triangle property
A+B+C=180
α+β+41.253=180
37.051+β=18041.253
β=138.74737.051
β=101.696
Therefore,
α=37.051
β=101.696

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