Answered

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Two friends are sharing one half of a pizza that is divided into three pieces, as shown in the figure.


Circle O has diameter A D and radii B O and C O. Angle A O B is adjacent to angle B O C. Angle B O C is adjacent to angle C O D.


If m∠AOB = (6x − 5)° and m∠BOD = (9x + 17)°, what is the value of x?


117.8

62.2

11.2

7.3

Sagot :

S1m1idn

Answer:

x = 11.2

Step-by-step explanation:

m∠AOB + m∠BOD = 180°,

because

-the angles <AOB and <BOD are adjacent and

-the angles together make "one half of a pizza" therefore half of a circle 360/2 =180

(6x − 5)° + (9x + 17)° = 180°

6x − 5 + 9x + 17 = 180, group like terms

6x + 9x = 180 + 5 -17, combine like terms

15x = 168, divide both sides by 15

x = 11.2

View image S1m1
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