Question

In the given figure, if the angles a and b
are in the ratio 2:3. then find the measure of angle c.
​

Answer 1

Step-by-step explanation:let ∠a=2x and ∠b=3x

∠a+∠b=180  

∘

 (adjacent angles on straight line are supplementary)

⇒2x+3x=180  

∘

 

⇒5x=180  

∘

 

⇒x=  

5

180  

∘

 

​  

=36  

∘

 

Now ∠b=3x=3×36  

∘

=108  

∘

 

∠c=∠b        (Vertically opposite angles)

⇒∠c=108  

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m∣∣n and l is transversal  

∴∠h=∠c      (corresponding angles)

⇒∠h=108  

∘

Answer 2

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