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Math Help - angle problem

  1. #1
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    angle problem

    X is a point inside angle A.
    From point X, perpendiculars XY and XD are dropped to the angle sides.
    From point A, perpendicular AZ is dropped to segment YD.
    With this info,
    prove angle PAK= angle MAQ
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  2. #2
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    More information please

    Hello the undertaker
    Quote Originally Posted by the undertaker View Post
    X is a point inside angle A.
    From point X, perpendiculars XY and XD are dropped to the angle sides.
    From point A, perpendicular AZ is dropped to segment YD.
    With this info,
    prove angle PAK= angle MAQ
    Where are P, K, M and Q?

    Grandad
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  3. #3
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    to grandad

    I meant
    angle YAZ = angle XAD
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  4. #4
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    Hello the undertaker

    AX is the diameter of a circle through A,D,X and Y (angle in a semicircle is a right-angle).

    So angles ADZ and AXY are equal (angles in same segment).

    Therefore angle DAZ = XAY (angle sum of triangles DAZ, XAY)

    So angle DAX = angle ZAY.

    Grandad
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