Math, asked by Sakshe, 1 year ago

In quadrilateral ABCD, angle A = 60 degree, angle B = 80 degree, angle C = 65 degree Find the measure of angle D is this a convex quadrilateral

Answers

Answered by DhanyaDA
31
hey friend!!!!

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 ;)


Sakshe: thanks
DhanyaDA: my pleasure^_^
Answered by sdamodar402
1

step by step explanationo

we know sum of angle of triangle is 360⁰ degree

since, <A+<B+<C+<D = 360⁰

<D = 360⁰- 205⁰ = 155⁰

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