Download Find the measure of each numbered angle and name the theorems

Geometry PAP
Name________________________
Section 2.8 (Proving Angle Relationships)
Period______Date______________
Find the measure of each numbered angle and name the theorems that justify your work.
1. m2  57
2. m5  22
3. m1  38
4. m13  4 x  11 , m14  3x  1
5. 9 and 10 are complementary.
7  9, m8  41
6. m2  4 x  26, m3  3x  4
Complete each proof.
Given: 1 and 2 form a linear pair, m1  m3  180
Prove: 2  3
Proof:
Statements
Reasons
1. 1 and 2 form a linear pair.
m1  m3  180
1. Given
2. ______________________________
2. Linear Pair Theorem
3. 1 is supplementary to 3 .
3. ______________________________
4. ______________________________
4. Angles supplementary to the same angle
or  angles are  .
Given: QPS  TPR
Prove: QPR  TPS
Proof:
Statements
Reasons
1. ______________________________
1. ______________________________
2. mQPS  mTPR
2. ______________________________
3. mQPS  mQPR  mRPS
mTPR  mTPS  mRPS
3. ______________________________
4. ______________________________
4. Substitution
5. ______________________________
5. ______________________________
6. ______________________________
6. ______________________________