In the given figure ΔABC side AC has been produced to D. ∠BCD = 125

1.	In the given figure ΔABC side AC has been produced to D. ∠BCD = 125° and ∠A: ∠B = 2:3, find the measure of ∠A and ∠B
Answer» Given that ∠BCD = 125° ∠A : ∠B = 2 : 3 Sum of the terms of the ratio ∠A : ∠B = 2 + 3 = 5 We know that ∠A + ∠B = ∠BCD (∵ exterior angles of triangle is equal to sum of its opp. interior angles) ∴ ∠A = 2/5 x 125° = 50° ∠B = 3/5 x 125° = 75°

In the given figure ΔABC side AC has been produced to D. ∠BCD = 125° and ∠A: ∠B = 2:3, find the measure of ∠A and ∠B

Answer»

Given that ∠BCD = 125°

∠A : ∠B = 2 : 3

Sum of the terms of the ratio

∠A : ∠B = 2 + 3 = 5

We know that ∠A + ∠B = ∠BCD

(∵ exterior angles of triangle is equal to sum of its opp. interior angles)

∴ ∠A = 2/5 x 125° = 50°

∠B = 3/5 x 125° = 75°