Question

In quadrilateral ABCD ,angle A=60 degree ,angle B = 60 degree,angle C =50 degree,angle D; Is this quadrilateral convex or concave ?

Answer 1

Answer: Concave polygon

Step-by-step explanation:

Angle sum property of quadrilaterals = 360 degree

angle A + Angle B + Angle C + Angle D = 360

60 + 60 + 50 + Angle D = 360

Angle D = 360-60-60-50

Angle D = 190 degree

Any quadrilateral with an angle above 180 degree is called a concave polygon.

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Answer 2

Answer: GIVEN,

In quadrilateral ABCD,

angle A = 60 degree,

angle B = 80 degree,

angle C = 65 degree

angle D=?

sum of interior angles in a quadrilateral is 360°

60+80+65+?=360

?=360-205

angle D=155°

convex quadrilateral is the quadrilateral in which the opposite angles make 180°

angleA+angleC

and

angleB +angleD

does not make 180°

so, it is not a convex quadrilateral

HOPE THIS HELPS U.................