Question

In the adjoining figureL||m and pllq. If angle 1 = 75°. prove that angle 3 = angle 1+
1/ 3 of a right angle​

Answer 1

Step-by-step explanation:

Answer

 p∥q

⇒∠3=∠1  (corresponding angles)

⇒∠3=75∘

m∥n

Now ,    ∠2+∠3=180∘

⇒∠2+75∘=180∘

⇒∠2=105∘

RHS =∠1+31×90∘

        =75∘+30∘

         =105∘

         =∠2

         =LHS 

     hence proved  

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