Respuesta :
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]
