Question

Two lanes are intersecting with each other forming four angles. If z 2 is 80 degree then

find the other angles 21, 23, 24.

Answer 1

Given :  Two lines are intersecting with each other forming four angles.

∠2 = 80°

To Find : Other angle ∠1 , ∠3 and ∠4

Solution:

∠1 + ∠2  = 180°   linear pair

∠3 + ∠2  = 180°   linear pair

∠2 = 80°

=> ∠1 + 80°   = 180°  

=> ∠1  = 180° - 80°

=> ∠1  = 100°  

∠3+ 80°   = 180°  

=> ∠3  = 180° - 80°

=> ∠3  = 100°  

∠2 = ∠4  vertically opposite angles

Hence ∠4  = 80°

∠1  = 100°   , ∠3  = 100°  , ∠4  = 80°

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