![We\ are\ given\ that:\\AD\ is\ the\ altitude\ of\ \triangle ABC\\Hence,\\ADC=90[As\ altitudes\ intersect\ the\ base\ side\ at\ 90]\\Hence,\\As\ ADC=(x+15)\ and\ ADC=90\\x+15=90\\x=90-15\\x=75](/tpl/images/0974/4638/468ad.png)
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