Question

Please. Find BC. If AB = x, BC = 8x-4 and AC =77°.​

Answer 1

Answer:

91 1/9

Step-by-step explanation:

Because this is clearly a triangle, the total number of degrees all the angles add up to is 180 degrees. In this scenario, we have $x+(8x-4)+77=180$

Combining like terms, we have $9x-4+77=180$

Combining like terms again, we have $9x+73=180$

Subtracting 73 on both sides, we have $107=9x$

Dividing by 9 on both sides, we have $x = 11 \frac{8}{9}$

Plugging back into BC = 8x - 4, we have $\frac{856}{9} - 4$

Combining like terms, we have $\frac{820}{9}$, which is $91 \frac{1}{9}$