The perimeter of the figure below is 146.7 cm. Find the length of the missing side. 5.7 cm
12.5 cm
12.5 cm
12.5 cm
18.2 cm
12 cm
24.5 cm
30.7 cm
12.5 cm
?

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step-by-step

a

step-by-step explanation:

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(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180