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
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
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 = (3 49 +1)° m TPS = (147 +1)° m TPS = 148°