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📝 Triangle Theorems: Practice B (G-CO.C.10)

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Prove and apply theorems about triangles (angle sum, exterior angle, isosceles). Solve each problem.

1. A triangle has angles 49° and 63°. Third angle = ___
2. Exterior angle of a triangle; remote interior angles 67° and 32°. Exterior angle = ___
3. Isosceles triangle with vertex angle 80°. Each base angle = ___
4. A triangle has angles 37° and 69°. Third angle = ___
5. Exterior angle of a triangle; remote interior angles 61° and 26°. Exterior angle = ___
6. Isosceles triangle with vertex angle 70°. Each base angle = ___
7. A triangle has angles 43° and 37°. Third angle = ___
8. Exterior angle of a triangle; remote interior angles 52° and 56°. Exterior angle = ___
9. Isosceles triangle with vertex angle 20°. Each base angle = ___
10. A triangle has angles 25° and 60°. Third angle = ___
11. Exterior angle of a triangle; remote interior angles 77° and 41°. Exterior angle = ___
12. Isosceles triangle with vertex angle 52°. Each base angle = ___
Answer key: 1) 68° · 2) 99° · 3) 50° · 4) 74° · 5) 87° · 6) 55° · 7) 100° · 8) 108° · 9) 80° · 10) 95° · 11) 118° · 12) 64°
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Worksheets › Grade 10 Math (Geometry) › Triangle Theorems › Triangle Theorems

Grade 10 (ages 15–16)Numbers & mathsFree printable PDF

About this grade 10 worksheet

Free Grade 10 Geometry math worksheet (Common Core G-CO.C.10): triangle theorems — a second set of twelve practice problems, with answer key. Skill: Prove and apply theorems about triangles (angle sum, exterior angle, isosceles). Level: Grade 10 — also suits Year 11 (UK).

For teachers: skills & standards

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What age is it for?

It is designed for Grade 10 (ages 15–16), but use it with any child who is ready.

What skills does it build?

Prove and apply theorems about triangles (angle sum, exterior angle, isosceles).

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More “Triangle Theorems” printables (g-co.c.10: prove and apply theorems about triangles (angle sum, exterior angle, isosceles))

Triangle Theorems: Practice A (G-CO.C.10) · Triangle Theorems: Mixed Practice & Reasoning (G-CO.C.10) · Triangle Theorems: Show Your Thinking (G-CO.C.10) · Triangle Theorems: Quick Check (G-CO.C.10)

All 5 triangle theorems sheets → · Grade 10 Math (Geometry): all 10 skills → · All Common Core grades

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