What are the values of x and y?

option 2

Step-by-step explanation:

Using the cosine and sine ratios in the right triangle and the exact values

cos30° = , sin30° =

cos30° = = = ( cross- multiply )

2x = 60 ( divide both sides by 2 )

x = 30

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sin30° = = = ( cross- multiply )

2y = 20 ( divide both sides by 2 )

y = 10

(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

just sum

10 + 10 = 20