Interior and Exterior Angles of Triangles, Mixed
Written by Adi Ackerman, Head Teacher
"Interior and Exterior Angles of Triangles, Mixed" 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: find x in eight triangles using the angle sum, a straight angle or the exterior angle fact. Answer key included. Part of our angles in triangles geometry collection. Aligned to Common Core standards.
How do I use this worksheet?
Use Why Triangle Angles Sum to 180 Degrees to introduce the fact, then the missing angle and exterior angle sheets for practice. Save the algebra sheets and Angle Chains With Triangles and Straight Lines for multi step work.
What students will practice
- Students will choose between the triangle sum, a straight angle and the exterior angle fact.
- Students will find missing angles from given measures such as 121° and 134°.
- Students will solve eight mixed problems with interior and exterior angles.
Name Angle Pairs Formed by a Transversal
Find Angles on Parallel Lines Cut 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
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.
View all 8.G.A.5 worksheets →Find this in the curriculum
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FAQ
How do I use this angles in triangles worksheet?
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Use Why Triangle Angles Sum to 180 Degrees to introduce the fact, then the missing angle and exterior angle sheets for practice. Save the algebra sheets and Angle Chains With Triangles and Straight Lines for multi step work.
What does this worksheet teach?
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Find x in eight triangles using the angle sum, a straight angle or the exterior angle fact. The directions on the page read: Find the value of x in each triangle. Use the triangle angle sum, a straight angle, or the exterior angle fact. A square corner means 90°. An answer key is included.
Can I use this angles in triangles 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.
How do you find the missing angle of a triangle?
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Add the two known angles and subtract the sum from 180°. In a triangle with angles of 58° and 72°, the missing angle is 50°.
What is an exterior angle of a triangle?
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It is the angle formed outside a triangle when one side is extended. It equals the sum of the two interior angles that are not next to it, and it forms a straight angle with the interior angle beside it.
How do you find the angle sum of a quadrilateral?
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Draw a diagonal to split it into two triangles. Each triangle has 180°, so the quadrilateral's angles add up to 360°. Quadrilateral Angle Sums From Two Triangles builds this step by step.
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Name Angle Pairs Formed by a Transversal
Find Angles on Parallel Lines Cut 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