Statements
1. OS with two secants, MO and NP that inter-
sect in the interior of the circle at Q
2. Draw auxiliary line PO
3. m/MQP = m/QPO+m/QOP
4.
m/QOP = 1mMP; m/QPO = NO
5.
Reasons
7.m/MQP = mMP +mNO
1
8. m/MQP = (mMP + mÑO)
2
1. Given
2.
3.
(Hint:
ZQPO and LQOP are remote interior
Zs)
4.
1
m/QOP+ m/QPO = mMP+m/QPOto both sides of the equation)
6. m/MQP = =mMP +m/QPO
Theorem
5. Add. Prop. of = (m/QPO was added
6.
line 3)
2
7.
line 4)
8. Distributive Property of =
▼ (from
(from
