chords AB and CD intersect at E. If m∠AEC = 4x, mAC = 120, and mDB = 2x, what is the value of x?

Please explain

2 Answers

Relevance
  • 7 years ago
    Favorite Answer

    Draw the diagram to show the geometry.

    m∠AEC = 4x, mAC = 120, and mDB = 2x.

    There is an Intersecting Chord fact that says that the angle at the intersection, m∠AEC, is half the sum of the angles of the circumference (measured at the circle centre), ie (mAC + mDB)/2 = 4x.

    (mAC + mDB)/2 = 4x.

    (120 + 2x)/2 = 4x

    60 + x = 4x

    3x = 60

    x=20

    There's a handy summary of Geometry Facts here. This one is Section R (d).

    Hope this helps.

    Best wishes.

    Source(s): www.averyschools.net/cms/lib3/NC01000809/Centricity/Domain/536/geometry/Geom%20Final%20Review/eoc%20review%20notes.pdf
    • Login to reply the answers
  • 3 years ago

    i could get photographs of Deaner donning his blue tights and deliver them to his pals and relatives.. then placed them on youtube.. then placed up a billboard close to the place he works.. then i could fairydust Nubs.. get lulu each and every of the blue eyeshadow she ever desires get Sil each and every of the steak he will ever want.. and wrap my childrens in bubblewrap and ultimately heal Jackpots shanking wound he have been given in detention center!!

    • Login to reply the answers
Still have questions? Get your answers by asking now.