Find the measure of each of the angles. don’t forget to label your answer
a=
b=
c=
d=
e=
f=

Step-by-step explanation:

step 1

Find the value of x

we know that

----> by alternate interior angles

solve for x

Group terms

step 2

Find the measure of angle a

we know that

 ----> by vertical angles

substitute the value of x

step 3

Find the measure of angle b

we know that

----> by supplementary angles (form a linear pair)

we have

substitute

step 4

Find the measure of angle c

we know that

c=b  ----> by vertical angles

we have

therefore

step 5

Find the measure of angle d

we know that

d=b  ----> by corresponding angles

we have

therefore

step 6

Find the measure of angle e

we know that

e=a ----> by alternate exterior angles

we have

therefore

step 7

Find the measure of angle f

we know that

f=d  ----> by vertical angles

we have

therefore

the first option is the answer.

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.