Question

The sum of angle 1 and angle 4 and the sum of angle 3 and angle 4 are each equal to 180 degrees by the definition of supplementary angles. The sum of angle 1 and angle 4 is equal to the sum of angle 3 and angle 4 by the transitive property of equality. Angle 1 is equal to angle 3 _____________________.

Answer 1

Angle 1 is equal to angle 3.

Step-by-step explanation:

Based on the information given in the question, we know that angle 1 + angle 4 = 180 degrees and angle 3 + angle 4 = 180 degrees. By transitive property of equality, angle 1 + angle 4 = angle 3 + angle 4. To find the value of angle 1, we can subtract angle 4 from both sides of the equation: angle 1 = angle 3. Therefore, angle 1 is equal to angle 3.

Answer 2

Supplement Postulate? they are supplementary.