Question

Two angles of a quadrilateral measure 85ᵒ and 75ᵒ respectively. the other two?????

Answer 1

Hey friend, here's your answer -:

___________________________________
___________________________________


You have not cleared that of the other two are equal or not.

So, if both are equal then -

Let Angles be = x

Sum of all angles of quadrilateral = 360°

85° + 75° + x + x = 360°
2x + 160° = 360°
x = 200/2
x = 100°

Thus, each angle is of 100°.


_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _

If both angles are not equal then -

Let both angles be 'x' and 'y' respectively.

85° + 75° + x + y = 360°
x + y = 200°

Thus, the sum of both angles is 200°.
Means, angles that can be any pair that sum up 200.

_____________________________________
_____________________________________

Hope it helps.

Answer 2

Other two Angles=X. Sum of the angles of Quadilateral=360. 85+75+x+x=360
160+2x=360. 2x=360-160. 2x=200. x=200/2=100.