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Quadrilateral ABCD is inscribed in a circle. Find the measure of each of the angles of the quadrilateral. (4 points) Show your work. (1 point)

Step-by-step explanation:

we know that

In an inscribed quadrilateral ABCD opposite angles are supplementary

so

----> equation 1

----> equation 2

step 1

Find the value of x

substitute the given values in equation 1

step 2

Find the measure of angle A,C and D

substitute the value of x

step 3

Find the measure of angle B

Remember the equation 2

----> equation 2

substitute the value of D

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!