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Plz help its due today and I don't understand its asking for the measurement of angle DEF

Plz Help Its Due Today And I Dont Understand Its Asking For The Measurement Of Angle DEF class=

Sagot :

Answer:

m∠DEF = 135º

Step-by-step explanation:

1. I will find the answer to X by writing what ∠FEA, ∠AEB, ∠BEC by doing

(2x+5) + (4x) + (3x-5) = 180, all simplified it will give me x=20

2. I want to figure out what ∠AEB and ∠BEC are

since x=20 and ∠AEB is 4x, we substitute x as 20 as : 4(20) which is 80.

We then figure out ∠BEC since x=20 and ∠BEC is 3x-5 we substitute the 20 in place of x, which will be 3(20) - 5= 55.

3. I want to add ∠AEB + ∠BEC to get the vertical angle of ∠DEF

(the vertical angel of ∠DEF is ∠AEB + ∠BEC)

∠AEB + ∠BEC = ∠DEF

80 + 55 = ∠DEF

135 = ∠DEF

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