Question

Lines l || m,p || q;
Find a, b,c,d​

Answer 1

Answer:

a=120° b=60° c=60° d=120°

Step-by-step explanation:

p||q,

therefore a+60°=180°(interior angles with lines p and q with transversal l)

a=180°-60°

a=120°

a=d (exterior alternate angles)

d=120°

but b+d=180°(linear pair)

b+120°=180°

b=180°-120°

b=60°

but b=c (vertically opposite angles)

c=60°

Answer 2

The correct answer is angles a, b, c, d are  120°,  60°,  60°,  120°.

Given: l || m and p || q.

To Find: a, b, c and d.

Solution:

As p||q,

a + 60° = 180°    (interior angles with lines p and q with transversal l)

a = 180°-60°

a = 120°

a = d    (By exterior alternate angles property)

d = 120°

b + d = 180°    (By linear pair)

b + 120° = 180°

b = 180°- 120°

b = 60°

b = c (By vertically opposite angles property)

c = 60°

Hence, angles a, b, c, d are  120°,  60°,  60°,  120°.

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