Question

Pls Help I’m so confused how do you do this

Answer 1

Answer: A

Step-by-step explanation:

$Given m \angle A=9 x-7, \quad m \angle B=7 x-9, m \angle C=28-2 x \\For the triangle m \angle A+m \angle B+m \angle c=180 \begin{aligned}&\Rightarrow(9 x-7)+(7 x-9)+(28-2 x)=180 \\&\Rightarrow 9 x+7 x-2 x-7-9+28=180 \\&\Rightarrow 14 x=180-28+16 \\&\Rightarrow 14 x=168 \\&\Rightarrow \quad x=12\end{aligned}$

$Therefore,\\&m \angle A=9 x-7=9 \times 12-7=101^{\circ}\\&m \angle B=7 x-9=7 \times 12-9=75^{\circ} \\&m \angle C=28-2 x=28-2 \times 12=28-24=4^{\circ}$

$Since m \angle A=101^{\circ} so B C is the longest side of a triangle \triangle A B C \\\\Since m \angle C=4^{\circ} S 0 SB is the shortest side of a triangle \triangle A B C \\\\So listing the sides in \triangle A B C from shortest to longest is: (a) \overline{A B}, \overline{A C}, \overline{B C}$