Question

In a traingle ABC if LA = 90% .what is the sum of angle B and angle C​

Answer 1

ANSWER

In △ABC

Let ∠ACB=x and ∠BAC=y

∠BAC+∠PAC=180 (Sum of angles on same line = 180)

∠PAC=180−y

∠QCA=∠ABC+∠BAC (Exterior angle theorem)

∠QCA=90+y

Hence, ∠PAC+∠QCA=180−y+90+y

∠PAC+∠QCA=270