Need done in 10 ! hurry

which reason justifies the statement that klc is complementary to kjc?

angles that
are congruent are complementary to the same angle.
angles that are congruent are supplementary to the same angle.
all angles in a rectangle are right angles.
complementary angles are always also congruent.

Angles that are congruent are complementary to the same angle

Step-by-step explanation:

see that attached figure to better understand the problem

we know that

Two angles are complementary if their sum is equal to

-----> equation A

so

-----> equation B

so

-----> equation C

Substitute equation A in equation C

So

That means------> angles ∠KLC and ∠KJC------> are complementary angles

therefore

Angles that are congruent are complementary to the same angle

a

step-by-step explanation:

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180