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MAVERICK [17]
3 years ago
12

Another geometry problem!

Mathematics
2 answers:
Ahat [919]3 years ago
8 0
The triangle is isosceles with  vertex angle =  116 
So m < E  = (180 - 116) / 2 = 32 degrees
andriy [413]3 years ago
8 0
Comment

<em>Fact One</em>
You are given 1 angle which is enclosed by 2 equal sides. That means you have an isosceles triangle. The angles opposite the equal sides are equal.

<em>Fact Two</em>
Every triangle has 180°

Step One
Set up the equation using fact one above.
2 equal angles + 116 = 180
2x + 116 = 180

Step Two
Solve the equation
2x + 116 = 180           Subtract 116 from both sides.
2x = 180 - 116
2x = 64                      Divide by 2
x = 64/2
x = 32

Conclusion
Each of the equal angles = 32°

E = 32° <<<<< answer
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