Q1. If two parallel lines are cut by a transversal and one of the corresponding angles measures 30°, what is the measure of the other corresponding angle?
Solution:
Corresponding angles are equal, so the other corresponding angle also measures 30°.
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Q2. In a transversal intersecting two parallel lines, if one angle measures 110°, what is the measure of the adjacent angle?
Solution:
Adjacent angles are supplementary, so the adjacent angle measures 180° - 110° = 70°.
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Q3. If angle 1 and angle 2 are same-side interior angles formed by a transversal cutting two parallel lines, what is their relationship?
Solution:
Same-side interior angles are supplementary, so they add up to 180°.
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Q4. In a transversal intersecting two parallel lines, if one angle measures 55°, what is the measure of the adjacent angle?
Solution:
Adjacent angles formed by a transversal are supplementary, so the adjacent angle is 180° - 55° = 125°.
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Q5. In a pair of parallel lines cut by a transversal, if one of the interior angles is 120°, what is the measure of the corresponding angle?
Solution:
Corresponding angles are equal, so the corresponding angle is also 120°.
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Q6. If angle 1 and angle 2 are corresponding angles formed by a transversal intersecting two parallel lines, what can be said about their measures?
Solution:
Corresponding angles are equal when two parallel lines are cut by a transversal.
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Q7. What is the sum of the measures of the interior angles formed by two parallel lines and a transversal?
Solution:
The sum of the measures of all interior angles formed by a transversal cutting two parallel lines is 360°.
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Q8. If angle A and angle B are same-side interior angles formed by a transversal cutting two parallel lines, what is their relationship?
Solution:
Same-side interior angles are supplementary when two parallel lines are cut by a transversal.
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Q9. What is the sum of the interior angles formed by two parallel lines and a transversal?
Solution:
The sum of the interior angles formed by two parallel lines and a transversal is 360°.
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Q10. In a pair of parallel lines cut by a transversal, if one of the interior angles is 120°, what is the measure of the other interior angle on the same side of the transversal?
Solution:
The two interior angles on the same side of the transversal are supplementary, so the other angle is 180° - 120° = 60°.
