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Example Questions
Example Question #15 : Plane Geometry
If , , and , what is the measure, in degrees, of ?
Possible Answers:
32
62
122
58
148
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.
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