Linear+Pair+Postulate,+4

LINEAR PAIR POSTULATE Taylor Twellman Mayme Marshall Clare Magers

**Linear Pair Postulate--**Two angles that form a linear pair are supplementary.

1. Are angles ABC and Q Linear Pairs? Answer: Yes. Why? Because they are adjacent, supplementary angles.

2. **__Linear Pair Postulate__**- The linear pair postulate states that if two angles form a linear pair, then they are supplementary. __**How is this linear pair supplementary?**__ -- Supplementary because the measure of MKJ is 72 degrees, and the measure of angle MKL is 108 degrees. When you add 108 and 72 together, that means the two angles (linear pair) are equivalent to 180 degrees, making the linear pair supplementary.
 * __Are angles MKJ AND MKL a linear pair?__ --** Yes, they are a linear pair because they are two angles that are both adjacent and supplementary.
 * __How is this linear pair adjacent?__** -- This linear pair is adjacent because the two angles have a common vertex.

Mayme Marshall

= = Clare Magers

=__**Linear Pair Postulate**__=

**If two angles form a linear pair, then they are supplementary.**


Ex.

If angle <1 and <2 are a linear pair, then m<1 + m<2 = 180 degrees.

//__Linear Pair Postulate and Proofs__://

Given: <1 and <2 are a linear pair

<3 and <4 are a linear pair m<3 = m<1 m<2 = 120 Prove: m<4 = 120

__Statements:__ 1. <1 and <2 are a linear pair, <3 and <4 are a linear pair 2. m<1 + m<2 = 180, m<3 + m<4 = 180 3. m<1 + m<2 = m<3 + m<4 4. m<2 = m<4 5. m<4 = 120

Reasons/Answers: 1. Given 2. **Linear Pair Postulate** 3. Transitive 4. Substitution/Subtraction 5. Transitive