If $ \angle 5: \angle 6=3: 2 $, then find the value of ∠5 and ∠6.
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Given: ∠5 : ∠6 = 3 : 2

To find: Here we have to find the value of ∠5 and ∠6.

Solution:

Given that,

∠5 : ∠6 = 3 : 2

Let the common factor be = a

So,

∠5 = 3a 

∠6 = 2a

Now,

∠5 $+$ ∠6 = 180^o         (Straight angle)

3a $+$ 2a = 180^o   

5a = 180^o   

a = $\frac{180}{5}$

a = 36^o   

Therefore,

∠5 = 3a = 3 $\times$ 36 = 108^o  

∠6 = 2a = 2 $\times$ 36 = 72^o

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Updated on: 10-Oct-2022

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