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Angle Bisectors

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In an Isoceles $△$ $triangle$ $A B C$ $ABC$ ,bisector $C D$ $CD$ of the $∠$ $angle$ $C$ $C$ is equal to the base $B C$ $BC$ .Then the angle between $C D A$ $CDA$ is ?
Find the locus of a point equidistant from two lines $y = \sqrt{3} x$ $y=sqrt3x$ and $y = \frac{1}{\sqrt{3}} x$ $y=1/sqrt3x$ ?
In triangle ABC, AD and BE are altitudes and AP and BQ are angle bisectors at A and B respectively, where P lies on CD and Q lies on CE. If $∠$ $angle$ PAD = 6° and $∠$ $angle$ QBE =18° , what is the degree of $∠$ $angle$ BCA?

Special Properties and Parts of Triangles

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