Question

Find x and the measures of the indicated parts.

BC and AC

A. x=6 , bc=10, ac=12
B. x=6, bc=12 , ac=10
C. x= 8,bc=12 ,ac=14
D. x=8 ,bc=12, ac=2

Answer 1

notice the arrows on DC and BE, that simply means DC || BE, and therefore the angles ∡D = ∡E and ∡C = ∡B, so the triangles are similar by AA.

check the picture below.

therefore,

BC = x + 4 = 6 + 4 = 10

AC = 10 + 2 = 12.