107k views
4 votes
What is the mwasure of <E in degrees

What is the mwasure of <E in degrees-example-1
User Gblazex
by
6.0k points

2 Answers

3 votes
Since both sides of the triangle is 5,it is an isosceles triangle,therefore having the property of side angles being equal as well.

Here's how you can write it in equation:

∵DE=EF=5(sides of isos.△)

∴<D=<F=48°(properties of isos.△)

We can then use the angle sum of triangle(180°) to find out the value of <E:

<E=180°-48°-48°
<E=84°

Thus,the measure of <E is 84°

Hope it helps!
User Bret Deasy
by
5.7k points
4 votes

The triangle is isosceles. It has two equal sides. Therefore the angles opposite those equal sides are equal. So if one of the base angles = 48, so does the other one. So you have 2 equal angles of 48.


Every triangle in the world has 180 degrees. There are no exceptions to that rule.


We don't know E


There are always 3 angles in a triangle. So far what we have is

E + 48 + 48 = 180 Add the two 48s

E + 96 = 180 Subtract 96 from both sides.

E = 180 - 96

E = 84 <<<<<< Answer

User Granty
by
5.9k points