Q1. What is the measure of angle 3 if angle 1 is 45 degrees and angle 3 is an alternate exterior angle to angle 1?
Solution:
Alternate exterior angles are equal, so angle 3 is also 45 degrees.
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Q2. If two parallel lines are cut by a transversal and one of the exterior angles is 120 degrees, what is the measure of the opposite exterior angle?
Solution:
Opposite exterior angles are equal, so the opposite exterior angle also measures 120 degrees.
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Q3. 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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Q4. What is the relationship between the consecutive interior angles formed by a transversal intersecting two parallel lines?
Solution:
Consecutive interior angles are supplementary when two parallel lines are cut by a transversal.
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Q5. 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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Q6. In a transversal intersecting two parallel lines, if one of the interior angles is 30 degrees, what is the measure of the exterior angle adjacent to it?
Solution:
The exterior angle is supplementary to the interior angle, so 180 - 30 = 150 degrees.
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Q7. 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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Q8. In a transversal intersecting two parallel lines, if one of the corresponding angles measures 75 degrees, what is the measure of the other corresponding angle?
Solution:
Corresponding angles are equal, so the other corresponding angle also measures 75 degrees.
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Q9. What is the sum of the interior angles formed by a transversal intersecting two parallel lines?
Solution:
The sum of the interior angles formed by a transversal intersecting two parallel lines is 360 degrees.
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Q10. In a pair of parallel lines cut by a transversal, if one of the interior angles is 40 degrees, what is the measure of the adjacent interior angle?
Solution:
Adjacent interior angles are supplementary, so the adjacent angle measures 140 degrees.
