Hi! My question is.. What is the value of x?

A. 20
B. 40
C. 45
D. 85

Thank you.
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B. 40

Step-by-step explanation:

We know that the large angle is 90 degrees as it is a right angle. Thus, (I don't know how to include degree symbols). We solve: , so then . Thus, x is forty degrees and the answer is B.

(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