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MathNet 2022-part-05 — 197 problems (EN–VI) Question 15

Math Olympiad Vault · MathNet 2022-part-05 — 197 problems (EN–VI)

Question 15

In the trapezoid $ABCD$ the length of the leg $AD$ is $13~\mathrm{cm}$ and the length of the leg $BC$ is $9~\mathrm{cm}$. The angle $\angle BAD$ measures $37^\circ$. What is the size of the angle $\angle BCD$, rounded to two decimal places, if the angle $\angle CBA$ is acute?

(A) $37^\circ$
(B) $143^\circ$
(C) $48.29^\circ$
(D) $119.62^\circ$
(E) $71.59^\circ$