Question

Prove that opposite sides and opposite
angles
es of a parallelogram
congruent​

Answer 1

Step-by-step explanation:

Given:-ABCD is a parellelogram

To find:- Opposite angles of parallelogram are Congruent

Solution:-

ABllCD(ABCD is a //gm)And AC is the transversal.

Angle1 =Angle 4(Alt.int angles)...I

∆ABC Congruent ∆ADC(Diagnols of //gm divide it into two Congruent ∆s)

Angle3=Angle4.....(2)

Angle1 =Angle2.....(3)

AngleA= Angle3 +Angle4

AngleA=Angle4+Angle4.[From.eq.(2)]

AngleA=2Angle4=2Angle1.[From .eq.(1)]

AngleA=Angle1 +Angle2

AngleA=AngleC

AngleB=AngleD

..=Hence Proved From above Equations.

Answer 2

Answer:

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