Question

In the following figure, mLACE=24°, and m AE=73º. Find the measure of BD indegrees

Answer 1

we have

$\begin{gathered} m\angle ACE=\frac{1}{2}(AE-BD) \\ 24=\frac{1}{2}(73-BD) \\ 2\cdot24=\frac{1}{2}(73-BD)\cdot2 \\ 48=73-BD \\ 48-73=73-BD-73 \\ -25=-BD \\ BD=25 \end{gathered}$

answer: BD = 25°