Complete the two-column proof for the theorem "If two angles are congruent, then their supplements are congruent." (Pick one of these bellow for each number)

2. complement or supplement

3. definition of the supplement of an angle, definition of the complement of an angle, or substitution property of equality

4.
m
m

5. Substitution Property of Transitivity, Equality, or Congruence

6. Substitution Property of Equality, Definition of the supplement of an angle, Addition Property of Equality

7.

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.

the answer is:

the answer is:

to solve the problem, we need to remember the quotient of power property, it's defined by the following relation:

if we have a quotienf of powers that have the same base, we need to keep the same base and subtract the exponent of the denominator power to the exponent of the numerator power.

so, we are given the expression:

then, calculating we have:

hence, the answer is:

have a nice day!