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UKMT Junior Mathematical Challenge, 2016

Geometry Difficulty 2.0 Junior Find the answer United Kingdom

In the diagram, AB=ACAB = AC and DD is a point on ACAC such that BD=BCBD = BC. Angle BACBAC is 40∘40^\circ. What is angle ABDABD?

(A) 15∘15^\circ (B) 20∘20^\circ (C) 25∘25^\circ (D) 30∘30^\circ (E) 35∘35^\circ

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