Answer:
[tex]\huge\boxed{\sf P = 79.5\°}[/tex]
Explanation:
Given that:
ΔMNO ≅ ΔPQR
That means
M ↔ P
N ↔ Q
O ↔ R
So,
∠P ≅ ∠M
Given that P = 3x + 20.4 and M = 5x - 19
3x + 20.4 = 5x - 19
Add 19 to both sides
3x + 20.4 + 19 = 5x
3x + 39.4 = 5x
Subtract 3x to both sides
39.4 = 5x - 3x
39.4 = 2x
2x = 39.4
Divide both sides by 2
x = 19.7
Given that:
P = 3x + 20.4
P = 3(19.7) + 20.4 (x = 19.7)
P = 59.1 + 20.4
P = 79.5°
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807
