Lines x and y are parallel and are cut by the transversal b. If the measure of angle 1 is 57°, what is the measure of angle 6? Explain the relationship between the two angles.

Step-by-step explanation:

Given

Lines x and y

Transversal b

Required

Find

From the attachment, and are vertically opposite.

This means that

Similarly

 and are supplementary angles

So:

Make the subject

The relationship between and is that they are supplementary angles because:

89

step-by-step explanation:

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.