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Please help like nobody has helped me on my other questions and i dont wanna fail this test

Please help like nobody has helped me on my other questions and i dont wanna fail-example-1

1 Answer

3 votes

Answer: d=70; f=45; e=65

Explanation:

NUMBER 1 WAY

110+d=180

d=70

135+f=180

f=45

d+f+e=180

70+45+e=180

e=65

--------------------------------------------------

NUMBER 2 WAY

concept to know: exterior angle theorem

------------------------------

System of equation

d+e=135

f+e=110

d+e+f=180

------------------------

d=135-e

f=110-e

-------------------------

d+e+f=180

(135-e)+e+(110-e)=180

135-e+e+110-e=180

245-e=180

e=65

-----------------------

d=70

e=65

f=45

User Aly
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