hermionegranger888
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PLEASE ANSWER ASAP DUE IN 2 MIN WILL GIVE BRAINLEST!!!!!!!!!!!!!!!!
PLEASE ONLY ANSWER PART B

PLEASE ANSWER ASAP DUE IN 2 MIN WILL GIVE BRAINLESTPLEASE ONLY ANSWER PART B class=

Sagot :

akposevictor

Answer/Step-by-step explanation:

Part A:

(6x + 2)° + (8x + 6)° + (7x + 4)° = 180° (angles in a straight line)

Solve for x

6x + 2 + 8x + 6 + 7x + 4 = 180

Add like terms

21x + 12 = 180

21x + 12 - 12 = 180 - 12

21x = 168

21x/21 = 168/21

x = 8

Part B:

Method 1:

m<CFD + m<CFB + m<BFA = 180° (Angles in a straight line)

m<CFD + (6x + 2)° + (8x + 6)° = 180° (substitution)

Plug in the value of x

m<CFD + 6(8) + 2 + 8(8) + 6 = 180

m<CFD + 48 + 2 + 64 + 6 = 180

m<CFD + 120 = 180

m<CFD + 120 - 120 = 180 - 120

m<CFD = 60°

Method 2:

m<CFD = m<AFE (vertical angles are congruent)

m<CFD = (7x + 4)° (substitution)

Plug in the value of x

m<CFD = 7(8) + 4

m<CFD = 60°

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