m∠C= step by step thank you so much

Answer:
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Step-by-step explanation:
in tri ABD and bcd...
AD =DC ...given
AB =BC.....given
BD =BD.....common
therefore...both tri are congruent...by SSS CRITERION
therefore angle adb...and angle bdc are equal...cpct...
therefore angle bdc =32°
angle dbc =90°
therefore angle bcd =angle C=180- (90 +32) =58°
angle C=58°....answer