Question

find a,b,c,d lines l parallel m ,p parallel q​

Answer 1

a = 180 - 60 = 120° (Co interior angles are supplementary)

b = 180 - a = 180 - 120 = 60°(Exterior allied angles are supplementary)

c = b = 60° (Vertically opposite angles are equal)

d = 180 - c = 180 - 60 =120°(Linear pair)

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Answer 2

Answer

$\angle \: a \: = 120 \degree$

$\angle \: b \: = 60 \degree$

$\angle \: c \: = 60 \degree \:$

$\angle \: d \: = 120 \degree$

Step - by - step explanation

To find the angles first name them to know the names refer to attachment

$given : \angle lrn \: = 60 \degree \:$

l, m, n and p are parallel

To find : a, b, c and d

Solution

$\angle \: a \: + 60 \degree \: = 180 \degree$

They both are corresponding angles

$\implies \: \angle \: a \: = 180 \degree \: - 60 \degree$

$\implies \: \angle \: a = 120 \degree$

Now,

$\angle \: d \: = \angle \: a$

Angle a and d are alt. exterior angle

$\therefore \: \angle \: d \: = 120 \degree$

Now,

$\angle \: c \: + \angle \: d \: = 180 \degree$

They both are linear pair

$\angle \: c \: + 120 \degree \: = 180 \degree$

$\implies \: \angle \: c \: = 180 \degree - 120 \degree$

$\implies \: \angle \: c \: = 60 \degree$

And

$\angle \: b \: = \angle \: c$

They both are opposite angles

$\therefore \: \angle \: b \: = 60 \degree$