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Does anyone know about this?:)

Does anyone know about this?:)-example-1
User Chizzle
by
4.0k points

2 Answers

6 votes

Answer:

1. 148

2. 17

Explanation:

1. m<FEC + m<CED = m<FED

32 + m<CED = 180

m<CED = 180 - 32

m<CED = 148

2. m<CEA + m<AED = m<CED

(6x - 20) + (3x + 18) = 151

9x - 2 = 151

9x = 153

x = 17

User Robert Wagstaff
by
4.0k points
4 votes

Answer: X = 17

Step-by-step explanation: The line shows three different angles labeled as AED, CEA, and CEF. However angle CED is an addition of the angles CEA and AED. Therefore to calculate CED,

Angle CED = Angle CEA + angle AED

Angle CED = 6X - 20 + 3X + 18

Angle CED = 9X -2

However, angle CED is given as 151. Hence,

151 = 9X - 2

Add 2 to both sides of the equation

153 = 9X

Divide both sides of the equation by 9

17 = X

User Colin Humber
by
4.1k points