The measure of one angle of a right triangle is 50 more than the measure of the smallest angle. Find the measures of all three angles. Enter the angles from smallest to largest.

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].

Answer:

Step-by-step explanation:

Answer is "20,70,and 90