- Clockwise from top left, the 3 lines are labeled t, j, and k.
- Line t intersects both line j and line k.
- At the intersection of line t and line j, 2 angles are labeled clockwise from top left as follows:
- Bottom right: 133°
- Bottom left: x°
- A note indicates the figure is not drawn to scale.
In the figure, line is parallel to line . What is the value of ?
Correct answer: 47
Explanation
The correct answer is . Based on the figure, the angle with measure and the angle with measure together form a straight line. Therefore, these two angles are supplementary, so the sum of their measures is . It follows that . Subtracting from both sides of this equation yields .
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