Question

n parallel m and p parallel q if angle 1 equal 75 degree prove that angle 2 equal to 1 + 1 / 3 of a right angle​

Answer 1

Answer:

p∥q

⇒∠3=∠1 (corresponding angles)

⇒∠3=75

∘

m∥n

Now , ∠2+∠3=180

∘

⇒∠2+75

∘

=180

∘

⇒∠2=105

∘

RHS =∠1+

3

1

​

×90

∘

=75

∘

+30

∘

=105

∘

=∠2

=LHS

hence proved

Step-by-step explanation: