Step-by-step explanation:
Given: Two congruent sides, (DE and EF). Anlge. E is 36.
Let angle F be x°.
According to the base isoceles triangle theroem,
- Two angles are equal if the sides they are opposite from are equal.
Since Angle F is opposite from DE and Angle D is opposite from EF, and DE=EF.
Angle D = Angle F.
So using transitive property, Angle D is x°. as well.
All angles in triangles add up to 180 so
[tex]36 + x + x + = 180[/tex]
[tex]36 + 2x = 180[/tex]
[tex]2x = 144[/tex]
[tex]x = 72[/tex]
So angle F is 72°.
Since DF is opposite from 36°, the shortest angle, DF is the shortest side.
