Question

in triangle pqr if 3angle p =4angle q=6angle r.find angle p,angle q and ,r​

Answer 1

Answer:

3∠P=4∠Q=6∠R⋯⋯(1)

In triangle PQR,

∠P+∠Q+∠R=180

o

⇒

3

6

∠R+

4

6

∠R+∠R=180

o

⋯⋯[from (1)]

⇒ 2∠R+

2

3

∠R+∠R=180

o

⇒

2

(4+3+2)

∠R=180

o

⇒

2

9

∠R=180

o

⇒ ∠R=

9

180

o

×2

=40

o

∴ ∠P=

3

6

×40

o

=80

o

and ∠Q=

4

6

×40

o

=60

o

Therefore,

∠P=80

o

, ∠R=40

o

, ∠Q=60

o