MATH SOLVE

3 months ago

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°