Question

in a quadrilateral ABCD A=40 degree B=110 degree and C=70 degree Find D

Answer 1

Answer:

140

Step-by-step explanation:

Sum of all angles in a quadrilateral is 360

A + B + C + D = 360

40 + 110 + 70 + D = 360

220 + D = 360

D = 360 - 220

D = 140

Answer 2

∠D = 140°

Step-by-step explanation:

On considering the given information, we can observe ∠A = 40°, ∠B = 110° and ∠C = 70°. We need to find the fourth angle, ∠D

Angle Sum property of Quadrilateral:

According to this property, the sum of all the angles (interior) of a quadrilateral is 360°. In a quadrilateral ABCD, we can say that:

⇒ ∠A + ∠B + ∠C + ∠D = 360°

By using the above property, let's find the fourth angle.

⇒ ∠A + ∠B + ∠C + ∠D = 360°

⇒ 40° + 110° + 70° + ∠D = 360°

⇒ ∠D =  360° - (40° + 110° + 70°)

⇒ ∠D = 360° - 220°

⇒ ∠D = 140°

Hence, ∠D = 140°.