Can you check my geometry answer? the perimeter of triangle abc is 30 feet. ab=5x-7; bc=3x+1; ac=4x. list the angles of triangle abc in order from smallest to largest.

i got the answer of
my reasoning is that i got ab=8, bc=10, and ac=12. ab is opposite of c, which makes c the smallest angle. bc is opposite of a, which makes a the middle angle. and ac is opposite of b, which makes b the largest angle.

Step-by-step explanation:

It is given that perimeter of triangle=30 feet.

⇒AB+BC+CA=30

⇒5x-7+3x+1+4x=30

⇒12x-6=30

⇒12x=36

⇒x=3

therefore, AB=5x-7=5(3)-7=15-7=8

⇒AB=8

BC=3x+1=3(3)+1=9+1=10

⇒BC=10

CA=4x=4(3)=12

⇒CA=12

Therefore, AB is opposite of C, which makes C the smallest angle. BC is opposite of A, which makes A the middle angle. And AC is opposite of B, which makes B the largest angle.

Therefore, order of angles of triangle ABC is ∠C<∠A<B.

answer: it's a

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