Q1. If angle A and angle B 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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Q2. If angle 1 and angle 2 are alternate interior angles and angle 1 measures 55°, what is the measure of angle 2?
Solution:
Alternate interior angles are equal, so angle 2 also measures 55°.
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Q3. If two parallel lines are cut by a transversal and one of the angles is 45°, what is the measure of the angle that is supplementary to it?
Solution:
Supplementary angles add up to 180°, so the angle that is supplementary to 45° is 180° - 45° = 135°.
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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. If two lines are parallel and a transversal creates an angle of 40° with one of the lines, what is the measure of the corresponding angle on the other line?
Solution:
Corresponding angles are equal, so the corresponding angle is also 40°.
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Q6. Two parallel lines are cut by a transversal, creating angles of 75° and x°. What is the value of x?
Solution:
The angles are supplementary, so x = 180° - 75° = 105°.
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Q7. 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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Q8. 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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Q9. If angle 1 and angle 2 are alternate exterior angles formed by a transversal intersecting two parallel lines, what is true about their measures?
Solution:
Alternate exterior angles are equal when two parallel lines are cut by a transversal.
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Q10. 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.
