Question

In the figure, ΔABC ~ ΔDEF. Solve for x. Triangles ABC and DEF. Angles B and E are congruent and measure 160 degrees. AB measures x. BC measures 16. DE measures 3. EF measures 8.

A. x = 1.5
B. x = 6
C. x = 4
D. x = 5.5

Answer 1

the answer is B. -> x=6.

Answer 2

In the given figure ΔABC is similar toΔDEF.Angles B and E are congruent, then their corresponding sides will be in proportion according to S A S similarity.

∠B=∠E=160degrees

AB×EF=BC×DE

X×8=16×3

X=48÷8=6

There fore answer is option B.