SOLVING PROBLEMS USING ANGLE RELATIONSHIPS WORKSHEET

Problem 1 :

m∠EPG = 80°; m∠GPH = 30°

If ∠FPG and ∠GPH are complementary angles, then what is the measure of ∠FPG?

Solution

Problem 2 :

Lines AB and CD are parallel. If ∠1 measures (3x + 13)°, and ∠4 measures 151°, what is the value of x?

A. x = -4     B. x = 74     C. x = 46      D. x = 5

Solution

Problem 3 :

Angle DOE and angle EOF are adjacent angles. If m∠DOF = 66°, m∠DOE = x, and m∠EOF = 27°, which equation could be used to solve for x?

A. x - 66° + 27° = 90°      B. x - 27° = 66°

C. x + 27° = 66°          D. x + 66° + 27° = 180°

Solution

Problem 4 :

If ∠ROQ and ∠ROS are complementary angles, then what is the value of x and m∠ROS?

Solution

Problem 5 :

What is the measure of ∠GEF?

Solution

Problem 6 :

Lines AB and CD are parallel. If ∠1 measures (2x + 15)°, and ∠4 measures 111°, what is the value of x?

Solution

Problem 7 :

Lines AB and CD are perpendicular to each other. If ∠1 measures (4x + 3)°, and ∠2 measures 19°, what is the value of x?

Solution

Problem 8 :

In this picture, m∠TPU = 36° and m∠UPS = 5x + 10. If ∠TPU and ∠UPS are supplementary angles, then what is the value of x?

A. 8.8      B. 134      C. 26.8      D. 30.8

Solution