Find Angles on Parallel Lines Cut by a Transversal
Written by Adi Ackerman, Head Teacher
"Find Angles on Parallel Lines Cut by a Transversal" is written for 8th Grade (Ages 13-14), and it covers Common Core 8.G.A.5. A 7th grader who is already steady on geometry can use it too, and an older student can use it as a short review.
8th grade math worksheet: use one given angle, such as 65° or 124°, to find all eight angles where a transversal cuts parallel lines. Answer key included. Part of our angle relationships geometry collection. Aligned to Common Core standards.
How do I use this worksheet?
Teach the pair names with the first sheet before any measuring. Use the eight angle sheet to show which angles are equal and which are supplementary, then assign the algebra sheet.
What students will practice
- Students will find every numbered angle from one given angle measure.
- Students will use vertical, corresponding and alternate angles to fill in each diagram.
- Students will use linear pairs that add up to 180°.
Name Angle Pairs Formed by a Transversal
Solve for x With Transversal Angle Pairs
Triangle Angle Sum, Find the Missing Angle
Why Triangle Angles Sum to 180 Degrees
Quadrilateral Angle Sums From Two Triangles
Triangle Interior Angles, Solve for the Variable
Exterior Angle of a Triangle, Find the Measure
Exterior Angles, Solve for the Variable
Curriculum Links
Common Core State Standards
Geometry · 8th Grade
Standard: Use informal arguments to establish facts about the angle sum and exterior angle of triangles, about the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles.
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FAQ
How do I use this angle relationships worksheet?
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Teach the pair names with the first sheet before any measuring. Use the eight angle sheet to show which angles are equal and which are supplementary, then assign the algebra sheet.
What does this worksheet teach?
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Use one given angle, such as 65° or 124°, to find all eight angles where a transversal cuts parallel lines. The directions on the page read: The lines with arrow marks are parallel. One angle in each diagram is given. Find the measure of each numbered angle. An answer key is included.
Can I use this angle relationships worksheet for homeschool or classroom?
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Yes, both. We made it for 8th grade geometry, and it works the same at home or at school. At home, a student can work through it alone and then go over it with you, which shows quickly what is solid and what needs another look. In class it works as independent practice, homework or a warm-up, and you can print one copy or a full set.
What are alternate interior angles?
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They lie on opposite sides of the transversal and between the two parallel lines. Alternate interior angles are equal, so knowing one tells you the other.
Which angle pairs add up to 180°?
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Same-side interior angles add up to 180° when the lines are parallel, and so do the two angles of a linear pair. Corresponding, alternate interior and alternate exterior angles are equal.
How do you solve for x with parallel lines?
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Name the angle pair first. If the angles are equal, set the expressions equal, and if they are supplementary, set their sum to 180°. Then solve for x and find both angles.
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Name Angle Pairs Formed by a Transversal
Solve for x With Transversal Angle Pairs
Triangle Angle Sum, Find the Missing Angle
Why Triangle Angles Sum to 180 Degrees
Quadrilateral Angle Sums From Two Triangles
Triangle Interior Angles, Solve for the Variable
Exterior Angle of a Triangle, Find the Measure
Exterior Angles, Solve for the Variable