Page 203 - Math Course 2 (Book 2)
P. 203
Proving Angle Relationships
Your Turn!
Use Supplementary Angles
In the figure, ∠NYR and ∠RYA form a linear pair, Which choice correctly completes the proof?
∠AXY and ∠AXZ form a linear pair, and ∠RYA and
∠AXZ are congruent. Prove that ∠NYR and ∠AXY Proof:
are congruent. Statements Reasons
1. ∠NYR and ∠RYA 1. Given
and ∠AXY and ∠AXZ
from linear pairs.
2. ∠NYR and ∠RYA 2. If two ∠s form a linear
are supplementary . pair, then they are suppl.
∠AXY and ∠AXZ are ∠s.
supplementary
3. ∠RYA ≅ ∠AXZ 3. Given
4. ∠NYR ≅ ∠AXY 4.__________?_____________
A. Substitution
B. Definition of linear pair
C. ∠’s supp. to the same ∠ or to ≅ ∠’s are ≅.
D. Definition of supplementary ∠’s
Answer
Vertical Angles
If ∠A and ∠Z are vertical angles and m∠A = 3b – 23 and m∠Z = 152 – 4b, find m∠A and m∠Z.
a. m∠A = 38 and m∠Z = 52
b. m∠A = 52 and m∠Z = 52
c. m∠A = 25 and m∠Z = 25
d. m∠A = 52 and m∠Z = 38
Answer
195
