Question

In the following figure, if l1 is parallel to l2
,what is the value of y?
(a) 100
(b) 120
(c) 135
(d) 150​

Answer 1

given :-

L1 || L2

➡ x = angle 1 (corresponding angles)

now,

angle 1 + 3x = 180° (linear pair)

➡ x + 3x = 180° (since angle 1 = x)

➡ 4x = 180°

➡ x = 180°/4

➡ x = 45°

the value of x is = 45°

also x and y are linear pairs.

therefore x + y = 180°

➡ 45° + y = 180°

➡ y = 180° - 45°

➡ y = 135°

hence, the correct option is c) 135°

Answer 2

Answer:

see answer

Step-by-step explanation:

given :-

L1 || L2

➡ x = angle 1 (corresponding angles)

now,

angle 1 + 3x = 180° (linear pair)

➡ x + 3x = 180° (since angle 1 = x)

➡ 4x = 180°

➡ x = 180°/4

➡ x = 45°

the value of x is = 45°

also x and y are linear pairs.

therefore x + y = 180°

➡ 45° + y = 180°

➡ y = 180° - 45°

➡ y = 135°

hence, the correct option is c) 135°

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