Question

The sum of the two angles in a triangle is 95∘and their difference is 25∘. Then which of the following are true?

A One of the angles is 35∘.
B One of the angles is 50∘
C One of the angles is 60∘
D One of the angles is 85∘

Answer 1

Answer:

x° + y ° = 45°

x ° - y ° = 25°

by eliminating them

2x° = 70 °

x° = 35°

Answer 2

Answer:

By condition, taking one angle as 'x' and the other angle as 'y',

x+y = 95 ------------- 1

x-y = 25 -------------- 2

Adding 1 and 2

(x+y) + (x-y) = 95 + 25

x + y + x - y = 120

2x = 120 (y and -y get cancelled and x+x is 2x)

x = 120/2

x = 60

60+y = 95 (from 1)

y = 95-60

y = 35

Therefore, option A and option C are true