Question

if m || n and p || q if angle 1 =75° prove that angle 2=angle 1+1/3 of a right angle​

Answer 1

Step-by-step explanation:

Given: m∥n and p∥q

⇒∠3=∠1 (corresponding angles)

⇒∠3=75

∘

Since m∥n,

Now , ∠2+∠3=180

∘

(cointerior angles)

⇒∠2+75

∘

=180

∘

⇒∠2=105

∘

RHS =∠1+

3

1

×90

∘

=75

∘

+30

∘

=105

∘

=∠2

=LHS

Hence proved