Question

ABCD is a quadrilateral in which AB is parallel to DC and AD is parallel to BC find Angle B and angle C and angle D

Answer 1

AB||DC
AD||BC
.`.ABCD is a ||gm
=> <A=<C(opp., angles in a ||gm)
=> <C=50`

<B=180-<C(coordinate angles are supplementary)

<B=130`

<B=<D

<D=130`

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Answer 2

Heya Frnd..........☺

GIVEN THAT

AB||CD

and

AD || BC

THEREFORE,

ABCD IS A ||GM............. ( 1 )

So,

1) <c = 50* ............ ( OPPOSITE angles in a ||gm)

2) <b = 180 - 50 = 130* .......... (adjacent <s in a ||gm are supplementary)

3) <d = <b = 130* ............ (OPPOSITE angles in a || gm )

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