2. In the figure, is an exterior angle to triangle . (a) What is the angle measurement of Angle 3. Explain the angle relationship you used.
(b) What is the angle measurement of Angle 4. Explain the angle relationship you used.
(c) What is angle relationship between angles 3 & 4? What is the angle relationship between angles 1, 2, & 3? What do you notice that is similar between the two? What is different?
(d) Which two angles in the triangle equal angle 4? Use your work from Part C to figure out why this is the case, and explain your conclusion.

Part A)

Part B)

Part C)

Part D)

2. In the figure, is an exterior angle to triangle .

(a) What is the angle measurement of Angle 3. Explain the angle relationship you used.

(b) What is the angle measurement of Angle 4. Explain the angle relationship you used.

(c) What is angle relationship between angles 3 & 4? What is the angle relationship between angles 1, 2, & 3? What do you notice that is similar between the two? What is different?

(d) Which two angles in the triangle equal angle 4? Use your work from Part C to figure out why this is the case, and explain your conclusion.

Part A)

Part B)

Part C)

Part D)

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.