Respuesta :
Answer:
[tex]1.76^{0}[/tex], [tex]88.24^{0}[/tex] and [tex]90^{0}[/tex]
Step-by-step explanation:
Since the triangle is a right angled triangle, one of its angles is [tex]90^{0}[/tex].
To determine the degrees of other angles, let the smallest angle be represented by y. Thus, the third angle is 50y.
So that:
[tex]y^{0}[/tex] + 50[tex]y^{0}[/tex] + [tex]90^{0}[/tex] = [tex]180^{0}[/tex]
51[tex]y^{0}[/tex] = [tex]180^{0}[/tex] - [tex]90^{0}[/tex]
51[tex]y^{0}[/tex] = [tex]90^{0}[/tex]
[tex]y^{0}[/tex] = [tex]1.7647^{0}[/tex]
[tex]y^{0}[/tex] ≅ [tex]1.76^{0}[/tex]
Therefore,
50[tex]y^{0}[/tex] = 50 x 1.76471
= [tex]88.2355^{0}[/tex]
≅ [tex]88.24^{0}[/tex]
The angles of the triangle are: [tex]1.76^{0}[/tex], [tex]88.24^{0}[/tex] and [tex]90^{0}[/tex].