Question

Can I have help please

Answer 1

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

`36 + x + x + = 180`

`36 + 2x = 180`

`2x = 144`

`x = 72`

So angle F is 72°.

Since DF is opposite from 36°, the shortest angle, DF is the shortest side.