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Math Puzzle for March 7, 2025

The secret to getting ahead is getting started.

Alameda Post - a triangle ABC with an angle bisector line That goes from B to point D, which is in between A and C. The angles on either side of the bisector are both labelled theta [1]

In the triangle above, segment BD is an angle bisector.
Sides AB = 9x − 14, BC = 4x − 3, CD = 2x + 11 and AD =  5x + 2.
Find the area of triangle ABD and the measure θ.

Area ΔABD = ______ square units,    θ° = ______O

First correct answer arriving at [email protected] [2] gets a Tucker’s gift card.

Last week’s winner [3] was John Lovato with C = 2025

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