Identify all the numbered angles that are congruent to the given angle.

The numbered angles that are congruent to the given angle are m<1, m<4 and m<7.

The point where two lines meet or intersect is known as an angle.

From the line geometry given, we are to find the angles that are congruent to 27 degrees

Based on the geometry:

Hence the numbered angles that are congruent to the given angle are m<1, m<4 and m<7.

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Angles 1, 4, and 7

Step-by-step explanation:

This is because angle 1 and the angle with 27 degrees are opposite angles and angle 4 because it is a corresponding angle, and because of angle 4 angle 7 because angles 4 and 7 are opposite diagonal angles

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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.