Complete the two column proof
Given:angle 2 is about equal to angle 4, angle 2 = 110
Prove: angle 3 = 70
statement - proof
angle 2 is about equal to angle 4, angle 2 =110 - given
angle 2 = angle 4 - definition of congruent angles
angle 4 = 110 - A. (blank)
angle 3 and angle 4 are linear pair -definition of a linear pair
angle 3 and angle 4 are supplementary - linear pair postulate
angle 3 + angle 4 = 180 = b. (blank)
angle 3 + 110 = 180 - substitution property
angle 3 = 70 - C. (blank)
please fill in the blanks!!
A. Substitution Property
B. Addition Property
statement - proof
angle 2 is about equal to angle 4, angle 2 =110 - given
angle 2 = angle 4 - definition of congruent angles
angle 4 = 110 - A. (definition of equality)
angle 3 and angle 4 are linear pair - definition of a linear pair
angle 3 and angle 4 are supplementary - linear pair postulate
angle 3 + angle 4 = 180 = b. (definition of supplementary angles)
angle 3 + 110 = 180 - substitution property
angle 3 = 70 - C. (solving for angle 3)
Statement - Proof
angle 2 is about equal to angle 4, angle 2 = 110 - given
angle 2 = angle 4 - definition of congruent angles
angle 4 = 110 - A. (substitution property)
angle 3 and angle 4 are a linear pair - definition of a linear pair
angle 3 and angle 4 are supplementary - linear pair postulate
angle 3 + angle 4 = 180 - b. (definition of supplementary angles)
angle 3 + 110 = 180 - substitution property
angle 3 = 70 - C. (subtraction property of equality)
statement - proof
angle 2 is about equal to angle 4, angle 2 =110 - given
angle 2 = angle 4 - definition of congruent angles
angle 4 = 110 - A. substitution property
angle 3 and angle 4 are linear pair - definition of a linear pair
angle 3 and angle 4 are supplementary - linear pair postulate
angle 3 + angle 4 = 180 - b. definition of supplementary angles
angle 3 + 110 = 180 - substitution property
angle 3 = 70 - C. subtracting 110 from both sides