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simple geometry!

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In acute triangle ABC, we have ∠CAB=34∘. 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 ∠EHX?

  • simple geometry! -

    Drop an altitude from X to meet AC at point Y.

    Then XY ║ BE

    ∠AXH is 90°, so ∠YXH is 34°.
    So, since the angles at Y and E are all 90°, ∠EHX = 180-34 = 146°

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