SSAT Math Question 289: Answer and Explanation
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Question: 289
3. In the figure, line S is parallel to line T. What is the measure of angle X?
- A. 20°
- B. 30°
- C. 60°
- D. 120°
Correct Answer: C
Explanation:
The answer is C
On line T, the angles created by the transversal are supplementary, so the angle next to the 120° angle on line T is 60°. When two parallel lines are intersected by a transversal, corresponding angles are equal, so X is also 60°.
An easy way to remember how perpendicular lines work when intersected by another line is all four little angles are the same, all four big angles are the same, and any little angle plus any big angle equals 180°. Here a big angle is 120°, so X, a little angle, is 60°.