The sum of the two angles in a triangle is 95∘ and their difference is 25∘. Then which of the following are true?
75°, 50°, 55°
50°, 45°, 85°
60°, 35°, 85°
Let the two angles be x and y.
So, x+y=95∘
⇒x=95∘−y
and, x−y=25∘
⇒95∘−y−y=25∘
⇒95∘−2y=25∘
⇒y=95∘−25∘2
⇒y=35∘
So, x=95∘−35∘
⇒ x=60∘
Third angle is 180∘−95∘=85∘
So, the angles are 35∘, 60∘ and 85∘.