Question

If quadrilateral ABCD, AC = AD and AB bisects CA.
If LC B D = 70°, find the measure of LC BA​

Answer 1

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In △ABC and △ABD,

AC=AD (Given)

∠CAB=∠DAB (AB bisects ∠A)

AB=AB (Common)

∴△ABC≅△ABD (By SAS congruence rule)

∴BC=BD (By CPCT)

∴, BC and BD are of equal lengths.