Question

Three angle of quadrilateral are 75 105 degree and 85 degree find the fourth angle

Answer 1

The sum of the angles in a quadrilateral is 360°
Given angles are 75,105,85
The fourth angle =360-(75+105+85)
=360-265
=95°

Answer 2

the sum of all the angles of a quadrilateral is 360°

the first angle = 75°

second angle = 105°

third angle = 85°

let the fourth angle be = X°

then

75° + 105° + 85° + X° = 360°

⇒ 265° + X° = 360°

⇒ X° = 360° - 265°

⇒ X° = 95°

∴ the fourth angle = 95°