Angles, Transversals & Triangles Worksheets

Printable “Angles” worksheets:
Angles on a Straight Line
Vertical Angles
Complementary Angles
Supplementary Angles
Complementary & Supplementary Angles
Angles at a Point
Calculate Adjacent Angles
Angle Word Problems
Angles & Transversals
Angles, Transversals & Triangles

Examples, solutions, videos, and worksheets to help Geometry students learn how to to solve for unknown angles involving lines and angles at a point, angles involving transversals, and angles in triangles.

How to find angles involving transversals and triangles?

To find angles involving triangles and transversals, you can use geometric rules like the Triangle Angle Sum Theorem, the Exterior Angle Theorem, and the properties of angles formed by transversals intersecting parallel lines.

Key Angle Relationships:
Corresponding Angles: These angles are equal in measure.
Alternate Interior Angles: These angles are equal in measure.
Alternate Exterior Angles: These angles are equal in measure.
Same-Side Interior Angles: These angles are supplementary (they add up to 180 degrees).
Angles in a Triangle: The sum of the angles in a triangle is 180 degrees.
Exterior Angle Theorem: An exterior angle of a triangle is equal to the sum of the two opposite interior angles

1. Identify the triangle and the transversal:
   Label the triangle’s angles and any intersecting transversal(s).
   
2. Check if the transversal intersects parallel lines.
   Use transversal properties if the lines are parallel:
   Look for corresponding, alternate interior, or same-side interior angles to find relationships.
   
3. Apply triangle-specific rules:
   Use the Triangle Angle Sum Theorem to find unknown angles.
   Use the Exterior Angle Theorem if an exterior angle is given.
   
4. Check supplementary angles:
   If two angles form a straight line, their sum is 180 degrees.

Have a look at this video if you need to review how to find angles involving triangles and transversals.

• Angles involving triangles and transversals

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More Angles, Transversals & Triangles Worksheets

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(Answers on the second page.)
Angles, Transversals & Triangles Worksheet #1
Angles, Transversals & Triangles Worksheet #2
Angles, Transversals & Triangles Worksheet #3

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Angles, Transversals & Triangles

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