In the figure, ΔABC ~ ΔDEF. Solve for x. Triangles ABC and DEF. Angles B and E are congruent and measure 160 degrees. AB measure s x. BC measures 16. DE measures 3. EF measures 8.
A. x = 1.5
B. x = 6
C. x = 4
D. x = 5.5
2 answers:
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.
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