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Altitudes AX and BY of acute triangle ABC intersect at H. If angle BAC = 61 and angle ABC = 82, then what is angle CHX?

 Apr 22, 2022
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H will be the orthocenter of  the triangle   

 

Let  CZ  be the other altitude

 

Then we have right triangle  CZB  with  angle CZB  = 90  angle ZBC  = 82   and angle ZCB   = 180 - (90 +82)  =

 

And we have another right triangle CHX  with angle HXC = 90  and angle HCX  = 8

So angle CHX  =  180 - (90 + 8)   =  180   - 98   =  82°

 

 

cool cool cool

 Apr 23, 2022

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