Question

In triunghiul ABC,cu m(∡ABC)=45° si m(∡BAC)=75°,se construiesc inaltimile [AA'] si [BB'].Stiind ca AA'∩BB'={H},aflati masura unghiurilor HCA si HCB.

Answer 1

=> <) acb =180-(45+75 ) =180-120 = 60 grade
<) BAA" =180 - (90+45 ) =180-135 =45 gr
<) B"BC =180-(BB"C +BCB') =180-(90+60) =180-150 =30 gr
<) ACC" =180 -(AC'C+C'AC ) =180-(90+75 ) =180-165 =15 gr  ( =>HCA =15 gr)
<)HCB =ACA'-ACC' =60-15 =45 gr