Question

RSM HOMEWORK HELP!!! PLEASE HELP ME FAST I'M REALLY STUCK!!

Answer 1

Answer:

15

Step-by-step explanation:

Consider right triangle EFD. The sum of the measures of all interior angles in triangle EFD is 180°, so

$m\angle FED=180^{\circ}-90^{\circ}-3x=90^{\circ}-3x$

Consider right triangle EBC. The sum of the measures of all interior angles in triangle EBC is 180°, so

$m\angle BCE=180^{\circ}-(90^{\circ}-3x)-90^{\circ}=3x$

Consider triangle ACD. The sum of the measures of all interior angles in triangle ACD is 180°, so

$x+8x+3x=180^{\circ}\\ \\12x=180^{\circ}\\ \\x=15$