1. EXAMPLE 4
Standardized Test Practice
SOLUTION
Because TPQ and QPR form a linear pair, the sum of their measures is 180.
The correct answer is B.
ANSWER

2. Use the diagram in Example 4.
GUIDED PRACTICE
for Example 4
Use the diagram in Example 4.
7. Solve for x.
SOLUTION
Because TPQ and QPR form a linear pair, the sum of their measures is 180°.
The correct answer is B.
32 + (3x +1) = 180
Original equation
32 + 3x +1 = 180
Distributive property of equality
3x = 147
Subtract 33 from each side
x = 49
Divide each side by 3

3. GUIDED PRACTICE
for Example 4
Use the diagram in Example 4.
8. Find m TPS.
SOLUTION
m TPS = (3x + 1)°
Substitute the value x = 49
m TPS = ( )°
m TPS = (147 +1)°
m TPS = 148°