Question

In the following figure, if AB ||CD and angle 1 = 80°, find other angles

Answer 1

Answer:

∠1=∠3(vertically opposite angles are equal )

∠4=180 -∠1 (linear pairs are supplementary)

    =100°

∠6 =∠2 (corresponding angles are equal )

∠5=∠1  (,,                                                     ,,)

∠7 =∠3 (,,                                                     ,,)

∠8 =∠4(,,                                                       ,,)

hope this helps

Answer 2

Hey mate

Here is your answer

From the figure; Ang 1=80° ...(1)

Angle 3= 80° ( Vertically opposite angle) ...(2)

Angle 3= Angle 5 ( Alternate interior angle)

=> Angle 5=80° ... (3)
Angle 5= Angle 7 ( Vertically opposite angle)

=> Angle 7=80° ... (4)

Now..

Angle 2
Angle 2+ Angle 1=180° ( Linear pair)
Angle 2+80°=180°
Angle 2=100° ....(5)

Angle 2= Angle 4 (Vertically opposite angle)
=> Angle 4=100° ...(6)

Angle 4= Angle 6 (Alternate interior Angle)
=> Angle 6= 100° ... (7)
Angle 6= Angle 8 ( Vertically opposite angle)

=> Angle 8 =100° ... (8)

Hence from eq. (1) to eq. (8)

We conclude that

Angle 1=3=5=7= 80°

Angle 2=4=6=8=100°

hope it helps
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