Question

in triangle BAC,<c=3 <b=2(<A+ <B) if <A=x and <B=y then form the pair os linear equation and find <A <B <C.​

Answer 1

Answer:

<C=3B=2(<A+<B)

therefore, <B=C/3

<C=2A+2B

therefore, 2A+2B-C=0 ....(1)

we also know that ,

<A+<B+<C=180 .....(2)

multiply eq. (2) by 2 and subtract it from eq. (1)

after subracting we get,

- 3<C= -360

<C= -3/-360

<C= 120

therfore, <B= 120/3= 40

<A= 180-<C+<B

<A= 20

hence, now all the angles are known to you