Question

ABCD is a quadrilateral . Value of X is
a) 40 Degree
b) 60 Degree
c) 90 Degree
d) 70 Degree
diagram is given ​

Answer 1

d)70°

As sum of all exterior angle of a quadrilateral is 360°.

60+140+90+x=360

290+x=360

x=360-290

x= 70°

Answer 2

Answer:70 degree

Step-by-step explanation:    < means angle

<A=<B=<C=<D=180 degree   ..................... (1)

IN <D

<D=140+<ADC

SO <ADC=<180-<140=<40 degree ..............(2)

SIMILARLY <DAB=<180-<60=120 degree...........(3)

<B=90 (ALREADY GIVEN) .........................(4)

<DCB=<p...................(5)

as,sum of angles of quadrilateral is 360

<1+<2+<3+<p=360

40+120+90+<p=360

250 + <p=360

<p=360-250=110 degree  ...............(6)

<C=<p+x

180=110-x

x=180-110

X=70 degree

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