All Basic Geometry Resources
Example Questions
Example Question #181 : Coordinate Geometry
If , , and , what is the measure, in degrees, of ?
Possible Answers:
62
148
32
122
58
Correct answer:
148
Explanation:
The question states that . The alternate interior angle theorem states that if two parallel lines are cut by a transversal, then pairs of alternate interior angles are congruent; therefore, we know the following measure:
The sum of angles of a triangle is equal to 180 degrees. The question states that ; therefore we know the following measure:
Use this information to solve for the missing angle:
The degree measure of a straight line is 180 degrees; therefore, we can write the following equation:
The measure of is 148 degrees.
Siddharth
Certified Tutor
Certified Tutor
University of Petroleum and Energy Studies and, Masters in Business Administration, Aviation Management.
Tara
Certified Tutor
Certified Tutor
Tulsa Community College, Associate in Science, Accounting. Oklahoma State University-Main Campus, Bachelor of Education, Educ...
All Basic Geometry Resources
Popular Subjects
MCAT Tutors in New York City, Math Tutors in San Francisco-Bay Area, GMAT Tutors in Denver, GMAT Tutors in Dallas Fort Worth, ISEE Tutors in Phoenix, SSAT Tutors in Los Angeles, Reading Tutors in San Francisco-Bay Area, Physics Tutors in Seattle, Physics Tutors in San Francisco-Bay Area, English Tutors in Seattle
Popular Courses & Classes
ACT Courses & Classes in New York City, GRE Courses & Classes in Philadelphia, LSAT Courses & Classes in Washington DC, GMAT Courses & Classes in Washington DC, GRE Courses & Classes in Washington DC, LSAT Courses & Classes in Houston, ACT Courses & Classes in Philadelphia, SSAT Courses & Classes in Los Angeles, ACT Courses & Classes in Dallas Fort Worth, ACT Courses & Classes in San Francisco-Bay Area
Popular Test Prep
MCAT Test Prep in San Francisco-Bay Area, MCAT Test Prep in Los Angeles, ACT Test Prep in Seattle, ACT Test Prep in Philadelphia, ACT Test Prep in Dallas Fort Worth, SSAT Test Prep in Miami, GMAT Test Prep in San Francisco-Bay Area, ISEE Test Prep in Denver, GMAT Test Prep in Dallas Fort Worth, SSAT Test Prep in Seattle