SOLUTION: In triangle ABC where B=67 and C=46 prove that CA=CB

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Question 1208175: In triangle ABC where B=67 and C=46 prove that CA=CB
Answer by ikleyn(52879) About Me  (Show Source):
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In triangle ABC where B=67 and C=46 prove that CA=CB.
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In triangle ABC, we are given ∠A = 67° and ∠C = 46°.


Hence, ∠B = 180° - ∠A - ∠C = 180° - 67° - 46° = 67°.


Thus, in triangle ABC angles A and B are congruent.


Hence, the triangle ABC is isosceles with congruent angles A and B at the base AB.


So, vertex opposite to the base is C.


From it, we conclude that CA = CB.           QED.


At this point, the proof is complete.

Solved.