Question

identify all obtuse angles in the drawing belovO ZACEO ZBCD and ZBCAO ZBCE and ZECFO ZECD and ZACE

Answer 1

In order to solve this exercise, it is important to remember that an Obtuse angle is an angle that is larger than a Right angle (an angle that measures 90 degrees) and it is less than a Straight angle (an angle that measures 180 degrees).

You can see in the picture that there are two perpendicular lines that intersect. Since they are perpendicular, the intersection forms 4 Right angles.

Notice then that these angles measure 90 degrees:

$\begin{gathered} \angle BCD \\ \angle ACD \\ \angle ACF \\ \angle BCF \end{gathered}$

Notice these angles measure 180 degrees:

$\begin{gathered} \angle AB \\ \angle DF \end{gathered}$

Therefore, based on the definition of Obtuse angles, you can identify that these are:

$\begin{gathered} \angle BCE \\ \angle ECF \end{gathered}$

The answer is: Second option.