Question

We are given that angle ABC and are congruent, and that angle GHI and angle DEF are congruent. By the , the measure of angle ABC is equal to the measure of angle DEF, and the measure of angle GHI is equal to the measure of angle DEF. By the substitution property, the measure of angle ABC is equal to .

Answer 1

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

Explanation:

According to the Question,

Since we have,

• Angle ABC and angle DEF are congruent ⇒ ∠ABC = ∠DEF-------(1 )

• Similarly,angle GHI and angle DEF are congruent ⇒ ∠GHI = ∠DEF------(2)

On substituting the value of from equation (1) to equation (2)

We get, ∠ABC = ∠GHI ∴ ∠ABC ≅ ∠GHI

Thus, By the Substitution property

The measure of angle ABC is equal to angle GHI.