Lines l and m are parallel. find the measures of p, r,s and t

The value of angles are ∠ p is 60° , ∠ r is 60° , ∠ s is 120°  , ∠ t = 60°

Step-by-step explanation:

Given as :

Lines l and m are parallel to each other

So, from the condition of parallel lines

∠ s = 120°   as both are alternate exterior angles

So , ∠ r =  180° -  120°

I.e   ∠ r = 60°

Now, again

∠ r =  ∠ p    as both are corresponding angles

I,e, ∠ p = 60°

Again ,

∠ p + ∠ t = 120°     as exterior angles are sum of opposite angles

so , ∠ t = 120° - ∠ p

Or,  ∠ t = 120° - 60°

I,e   ∠ t = 60°

Hence The value of angles are ∠ p is 60° , ∠ r is 60° , ∠ s is 120°  ,     ∠ t = 60°   Answer

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