Answer:
The angle that can be equal to 90° will be [tex]\angle A[/tex] or [tex]\angle BAC[/tex]
Step-by-step explanation:
[tex]\triangle ABC[/tex] has [tex]a>b>c[/tex].
That means, the longest side is [tex]a[/tex] and the shortest side is [tex]c[/tex]
As the sum of all angles in a triangle is 180°, then if two angles are 60° and 90°, so the third angle will be: [tex]180\°-(60\°+90\°)= 180\°-150\°= 30\°[/tex]
Now, we know that the measure of opposite angle to the longest side is the largest angle.
As here side [tex]a[/tex] is the longest side, so [tex]\angle A[/tex] or [tex]\angle BAC[/tex] will be the largest angle which is 90°
