Question

In the given figure, m||n. Find the marked angles ​

Answer 1

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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Answer 2

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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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