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 = 45
or, x = 45
Hence, ∠P = x = 45°
and ∠R = (x + 45)° = (45 + 45)° = 90°
