Q1. If two parallel lines are intersected by a transversal and one of the interior angles measures 70 degrees, what is the measure of the other interior angle on the same side of the transversal?
Solution:
Interior angles on the same side of the transversal are supplementary, so 180 - 70 = 110 degrees.
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Q2. If angle C is a corresponding angle to angle D and angle D measures 85 degrees, what is the measure of angle C?
Solution:
Corresponding angles are equal, so angle C also measures 85 degrees.
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Q3. If angle A and angle B are alternate exterior angles formed by a transversal cutting two parallel lines, and angle A measures 50 degrees, what is the measure of angle B?
Solution:
Alternate exterior angles are equal, so angle B also measures 50 degrees.
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Q4. If angle A and angle B are alternate interior angles formed by a transversal intersecting two parallel lines, and angle A measures 75 degrees, what is the measure of angle B?
Solution:
Alternate interior angles are equal, so angle B also measures 75 degrees.
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Q5. If two parallel lines are cut by a transversal and one of the angles is 30 degrees, what is the measure of the vertically opposite angle?
Solution:
Vertically opposite angles are equal, so the vertically opposite angle is also 30 degrees.
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Q6. In a transversal intersecting two parallel lines, if one of the alternate interior angles measures 35 degrees, what is the measure of the other alternate interior angle?
Solution:
Alternate interior angles are equal, so the other angle also measures 35 degrees.
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Q7. If two parallel lines are intersected by a transversal and one of the interior angles is 70 degrees, what is the measure of the other interior angle on the same side of the transversal?
Solution:
Interior angles on the same side of the transversal are supplementary, so 180 - 70 = 110 degrees.
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Q8. What is the relationship between the exterior angle and the two interior opposite angles in a triangle formed by a transversal intersecting two parallel lines?
Solution:
The exterior angle is equal to the sum of the two interior opposite angles in a triangle.
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Q9. In a diagram, if angle 1 and angle 2 are corresponding angles formed by a transversal intersecting two parallel lines, what can be concluded?
Solution:
Corresponding angles are equal when two parallel lines are cut by a transversal.
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Q10. If angle 4 is 110 degrees and is an exterior angle formed by a transversal intersecting two parallel lines, what is the measure of the corresponding interior angle?
Solution:
The corresponding interior angle is supplementary to the exterior angle, so 180 - 110 = 70 degrees.
