In the given figure, m||n. Find the marked angles
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Answer:
W=60 degree Alternate angle
x= 50 degree Alternate angle
z= 180-(60+x) = 180- 110= 70 degree (Sum of angles in a triangle is 180)
Y= 180-x= 180-50= 130 degree (Linear pairs are = 180)
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Answered by
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To find :
x, y, w and z
Given :
m ‖ n
Solution :
Here, x = 50° [ alternate angles ]
Similarly, w = 60°
And, x + y = 180° [ linear pair ]
----> 50° + y = 180°
----> y = 180° - 50°
----> y = 130°
Now, ∠w + ∠z + 50° = 180° [ since they are forming a line ]
----> 60° + ∠z + 50° = 180°
---->∠z = 180° - (60° + 50°)
---->∠z = 70°
Therefore, x = 50°, y = 130°, w = 60° and ∠z = 70°
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