Question

In the given figure, lines l₁ and l₂ intersect at O, forming angles as shown. If x = 45^o, find the values of y, z and u.
(2 Marks)

Answer 1

Given that, ∠x = 45^o

From the figure we can write as

∠x = ∠z = 45^o (Vertically opposite angles)
(0.5 Marks)

Also from the figure, we have

∠y = ∠u

From the property of linear pair we can write as

∠x + ∠y = 180^o (Linear pair)
(0.5 Marks)

45^o + ∠y = 180^o

∠y = 180^o- 45^o = 135^o
(0.5 Marks)

Therefore, ∠y = ∠u = 135^o (Vertically opposite angles)
(0.5 Marks)

So, ∠x = 45^o, ∠y = 135^o, ∠z = 45^o and ∠u = 135^o