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In triangle ABC, altitudes AD, BE, and CF intersect at the orthocenter H. If angle ABC = 49 and angle ACB = 21, then find the measure of BHC, in degrees. 

 Dec 18, 2020
 #1
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ABC is obtuse with obtuse angle at A. Therefore, the orthocenter is outside the triangle.

 Dec 18, 2020
 #2
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In triangle ABC, altitudes AD, BE, and CF intersects at the orthocenter H. If angle ABC = 49 and angle ACB = 21, then find the measure of BHC, in degrees. 

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Angle BHC = 49 + 21 = 70 degrees

 Dec 18, 2020

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