Q:

Triangle- interior angles .Please help me !

Accepted Solution

A:
Answer:In  ΔPQR,  x = 25  , ∠P  = 45° and  ∠R  =  90° Step-by-step explanation:Here, In ΔPQR, ∠P = x°,  ∠Q = 45° and ∠R = (x + 45)°by ANGLE SUM PROPERTY of a triangle:Sum of all interior angles in any given triangle is always 180°.⇒ In ΔPQR, ∠P +  ∠Q + ∠R = 180°or,  x+ 45° +  (x + 45)° = 180°⇒  2x + 90° =  180°or, 2x =  180° - 90° = 90°⇒ x = 90/ 2 = 45or, x = 45Hence,  ∠P  = x = 45°and ∠R  = (x + 45)°  = (45 + 45)°  = 90°