Math, asked by mehak1508, 1 year ago

hello friends.... is there anyone who can solve this question.....

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Answers

Answered by gaurav2013c
1
<C = 3 <B = 2( <A + <B)

From (1) and (2)

<C = 3 <B --------(1)

From (2) and (3)

3 <B = 2<A + 2<B

=> 2<A =3 <B - 2<B

=> 2<A = <B

=> <A = <B/2 ----------(2)

Now,

By angle sum property of triangle,

<A +<B + <C = 180°

=> <B/2 +<B + 3<B = 180°

=> ( <B + 2<B + 6<B) / 2 = 180°

=> 9<B = 360°

=> <B = 40°
--------------------

<A = 40 /2

<A = 20°
-------------------

<C = 3<B

<C = 3× 40

<C = 120°

Answered by ɪᴛᴢᴛʀᴀɢɪᴄɢɪʀʟ
5

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

From (1) and (2)

<C = 3 <B --------(1)

From (2) and (3)

3 <B = 2<A + 2<B

=> 2<A =3 <B - 2<B

=> 2<A = <B

=> <A = <B/2 ----------(2)

Now,

By angle sum property of triangle,

<A +<B + <C = 180°

=> <B/2 +<B + 3<B = 180°

=> ( <B + 2<B + 6<B) / 2 = 180°

=> 9<B = 360°

=> <B = 40°

--------------------

<A = 40 /2

<A = 20°

-------------------

<C = 3<B

<C = 3× 40

<C = 120°

hope it helped ❤️

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