Answered

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(12x)
B
(2x + 5)
с
E
x= Answer
MAD -
Answer
BC
Answer
MDC
Answer
mDBC
Answer
D
(17x-14)

12x B 2x 5 С E X Answer MAD Answer BC Answer MDC Answer MDBC Answer D 17x14 class=

Sagot :

akposevictor

Answer:

x = 9

m(AD) = 108°

m(BC) = 23°

m(DC) = 139°

m(DBC) = 162°

Step-by-step explanation:

AD = 12x°

BC = (2x + 5)°

DC = (17x - 14)°

m<AEB = right angle = 90°

AB = m<AEB = 90° (central angle theorem)

90 + 12x + (2x + 5) + (17x - 14) = 360 (full circle)

✔️Solve for x

90 + 12x + 2x + 5 + 17x - 14 = 360

Add like terms

81 + 31x = 360

31x = 360 - 81

31x = 279

x = 279/31

x = 9

✔️Find m(AD)

m(AD) = 12x

Plug in the value of x

m(AD) = 12(9) = 108°

✔️Find m(BC):

m(BC) = (2x + 5) = 2(9) + 5

m(BC) = 23°

✔️Find m(DC) = (17x - 14)° = 17(9) - 14

m(DC) = 139°

✔️Find m(DBC) = m(DC) + m(BC) = 139° + 23° = 162°

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