Question

the measures of angles of a quadrilateral is 85 degree , 95 degree and 120degree . find the measure of the fourth angle​

Answer 1

Solution :-

Let us take a quadrilateral ABCD

Now , by the given information ,

• ∠A = 85°
• ∠B = 95°
• ∠C = 120°

We need to find ,

• ∠D = ?

Now , finding ∠D using angle sum property of a quadrilateral

Angle sum property of a quadrilateral :- Sum of all angles in a quadrilateral is always equal to 360°

⇒ ∠A + ∠B + ∠C + ∠D = 360°

Substituting the values of angles A , B & C

⇒ 85° + 95° + 120° + ∠D = 360°

⇒ 180° + 120° + ∠D = 360°

⇒ 300° + ∠D = 360°

⇒ ∠D = 360° - 300°

⇒ ∠D = 60° = other angle

Hence , the other angle = 60° .

Answer 2

Answer:60 degree

Step-by-step explanation: