Quadirateral abcd~=quadirateral ef , what is the value of x?
a.) x=75
b.)x=80
c.)x=100
d.)x=105

The answer to your question is: letter C = 100

Step-by-step explanation:

∠A = 80    ∠B = 75 ∠C = x = ? ∠D = 105

The sum of the angles in a quadrilateral = 360°

Like ABCD ≈ EDFG the magnitude of the angles is the same

Then:

∠A + ∠B + ∠C + ∠D = 360

80 + 75 + ∠C + 105 = 360

∠C = 360 - 80 - 75 - 105

∠C = 100

(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