Question

Lines L and M are parallel. Find the measures of p,r,s and t

Answer 1

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

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