Fill in the blanks with the help of the figure. ` ` a) ∠ P R S = _____ + _____

Given figure is, In the given triangle △ P Q R , the interior angles are ∠ P Q R , ∠ P R Q , ∠ Q P R and the exterior angles are ∠ R Q T , ∠ P R S , ∠ Q P U . We know that the exterior angle of a triangle is equal to the sum of its interior opposite angles. Now, the interior opposite angles to the exterior angle ∠ P R S are ∠ P Q R and ∠ Q P R . Hence, ∠ P R S = ∠ P Q R + ∠ Q P R .

Fill in the blanks with the help of the figure. ∠ Q P U = _____+_____

Given figure is, In the given triangle △ P Q R , the interior angles are ∠ P Q R , ∠ P R Q , ∠ Q P R and the exterior angles are ∠ R Q T , ∠ P R S , ∠ Q P U . We know that the exterior angle of a triangle is equal to the sum of its interior opposite angles. Now, the interior opposite angles to the exterior angle ∠ Q P U are ∠ P Q R and ∠ Q R P . Hence, ∠ Q P U = ∠ P Q R + ∠ Q R P .

Fill in the blanks with the help of the figure. ∠ R Q T = _____+_____

Given figure is, In the given triangle △ P Q R , the interior angles are ∠ P Q R , ∠ P R Q , ∠ Q P R and the exterior angles are ∠ R Q T , ∠ P R S , ∠ Q P U . We know that the exterior angle of a triangle is equal to the sum of its interior opposite angles. Now, the interior opposite angles to the exterior angle ∠ R Q T are ∠ P R Q and ∠ Q P R . Hence, ∠ R Q T = ∠ P R Q + ∠ Q P R .