What is the value of x?
x = 32
x = 36
x = 37
x = 40

The correct option is fourth,i.e., x=40.

Explanation:

First of all mark the names of all vertices of the triangle as shown in below figure.

From the figure it is noticed that the angle ACB and the angle ACD lie on a straight line. so, both angles are supplementary angles and their sum is 180 degree.

Divide both sides by 5.

Therefore x=40 is a correct value of x and correct option is fourth.

(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