Respuesta :


[tex]90 + 80 + x = 180[/tex]
[tex]x = 10[/tex]

Answer : The measure of the other acute angle is, [tex]10^o[/tex]

Step-by-step explanation :

Right angle triangle : It is a type of triangle in which the one angle is [tex]90^o[/tex].

As we know that the sum of interior angles of a triangle is equal to [tex]180^o[/tex].

[tex]\angle A+\angle B+\angle C=180^o[/tex]

Given:

[tex]\angle A=80^o[/tex]

[tex]\angle B=90^o[/tex]

Now put all the given value of angle in the above expression, we get:

[tex]\angle A+\angle B+\angle C=180^o[/tex]

[tex]80^o+90^o+\angle C=180^o[/tex]

[tex]\angle C+170^o=180^o[/tex]

[tex]\angle C=180^o-170^o[/tex]

[tex]\angle C=10^o[/tex]

Thus, the measure of the other acute angle is, [tex]10^o[/tex]

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