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 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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Q3. 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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Q4. What is the sum of the measures of the interior angles formed by a transversal intersecting two parallel lines?
Solution:
The sum of the measures of the interior angles formed is 360°.
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Q5. 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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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 two parallel lines are cut by a transversal and one of the angles is 30°, what is the measure of the vertically opposite angle?
Solution:
Vertically opposite angles are equal, so the vertically opposite angle is also 30°.
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Q8. 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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Q9. 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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Q10. 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°.
