Question

In the given figure find the angles and give answers. If angle 8 = 55°, lines l and m are parallel to each other and t is a transversal. ​

Answer 1

Answer:

Step-by-step explanation:

This is your answer.

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Answer 2

Answer:

angle 1 = 125°,

angle 2 = 55°,

angle 3 = 125°,

angle 4 = 55°

angle 5 = 125°,

angle 6 = 55°,

angle 7 = 125°,

angle 8 = 55°

Step-by-step explanation:

Given: L||M and let transversal be N

angle 8 = 55°

To find: All other remaing angles

Solution: angle 8 = angle 6 ----(Vert. opp. angle)

So,

angle 6 = 55°

Also,

angle 8 = angle 4 ----(Corres. angle)

Therefore,

angle 4 = 55°

Now

Since L||M & N is transversal

So,

angle 4 + angle 5 = 180° ----(sum of co-int. angle)

55° + angle 5 = 180°

angle 5 = 180° - 55°

angle 5 = 125°

Now again ,

angle 5 = angle 3 ----(alt. int. angle)

Therefore,

angle 3 = 125°

Also,

angle 3 = angle 1 ----(Vert. opp. angle)

angle 1 = 125°

angle 4 = angle 2 ----( ----"----)

angle 2 = 55°

angle 5 = angle 7 ----(----"----)

Therefore,

angle 7 = 125°

OR

angle 3 = angle 7 ----(corres. angle)

angle 7 = 125°

Solved