Question

Complete the paragraph proof to prove the statement.

Answer 1

-Angle DEF

-definition of congruent angles

-the measure of angle GHI  (m<GHI)

Answer 2

Answer: By the Substitution property, the measure of angle ABC is equal to GHI.

Explanation: Since we have,

Angle ABC and angle DEF are congruent ⇒$m\angle ABC$ =$m\angle D EF$ -------(1 )

Similarly, angle GHI and angle DEF are congruent⇒$m\angle GHI$ = $m\angle D EF$ ---------(2)

On substituting the value of  $m\angle D EF$ from equation (1) to the equation (2)

We get, $m\angle ABC$=$m\angle GHI$⇒$\angle ABC\cong \angle GHI$

That is, the measure of angle ABC is equal to angle GHI.