Geometry

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In acute triangle ABC, we have \angle CAB = 34 ^\circ . E is the foot of the perpendicular from B to AC. A point H is on BE is chosen, and X is the foot of the perpendicular from H to AB. What is the measure (in degrees) of \angle of EHX?

  • Geometry -

    very simple, look at quad AXHE
    you already have 2 90° angles and a third angle of 34°
    all 4 must add up to 360, so
    angle EHX = 360 - 90 -90 -34 = 146°

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