Р
А
V
Q
15. Given: mzPQR = x-5,
mzSQR=x-11, and
R
mzPQS = 100
Prove: x=58
Proof:
S
mzPQR=X-5
Given
m2SQR=X-11
Given
mzPQS = 100
=
Given
m2PQR + m2SQR = mzPQS
X-5 +X-11 = 100
Substitution Property
2x - 16 =100
Simplify
2x = 116
X= 58
Division Property of E.
a. Angle Addition Postulate; Subtraction
Property of E.
b. Protractor Postulate; Addition Property
of E.
C. Angle Addition Postulate; Addition
Property of E.
d. Protractor Postulate; Subtraction
Property of E.