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Math Puzzle for September 20, 2024

Drats! An angle bisector emerges on an election year

Alameda Post - an angle bisector in Triangle ADC [1]

Angle Bisector, BD, is drawn within Triangle ΔADC, bisecting  ےADC.
Segment AB has a length of x.
Segment BC has a length of x − 2.
Segment CD has a length of x + 3.
Segment AD has a length of x + 6.

Find the measure of the angle θ in degrees and the length of segment BD.

The first correct answer sent to [email protected] [2] wins a gift card worth a lot of ice cream at Tucker’s Ice Cream of Alameda.

The answer to last week’s puzzle was Airspeed V = 441.11 knots, Consumption Rate = 673 gallons per hour, Time En Route = 6.9 hours, Total Fuel Consumed = 4661 gallons.

Jeff Smith is a former Math teacher and a retired US Navy Lieutenant Commander. Reach him at [email protected] [2].