Exterior Angle Theorem
The exterior angle theorem says that an exterior angle of a triangle equals the sum of the two interior angles not adjacent to it. It follows directly from the fact that a triangle totals 180 degrees and a straight line does too.
(∠x) is the exterior angle.
(∠x + 92 = 180º) (linear pair of angles)
(∠x =:180-92 = 88º)
Applying the exterior angle theorem, we get, (∠y + 41 = 88)
(∠y = 88-41= 47º)
Exercises for Exterior Angle Theorem
- What is the value of (p) in the triangle?
- Find (m∠YDC).
- Find (x) in the given triangle and then find (m∠ABD).
- (color{blue}{60^{circ }})
- (color{blue}{140^{circ }})
- (color{blue}{x=5, m∠ABD = 100^{circ }})
Original price was: $109.99.$54.99Current price is: $54.99.
Original price was: $109.99.$54.99Current price is: $54.99.
Related to This Article
More math articles
- Best Office Chairs for Online Math Teachers
- How to Employ Solids of Revolution
- South Carolina SC READY Grade 3 Math Worksheets — 49 Free Printable Single-Skill PDFs
- Function Grapher — Plot y = f(x) Online (Free)
- How to Master the Road to Achievement: “Praxis Core Math for Beginners” Comprehensive Answer Guide”
- The 8 Best Webcams for Online Teachers
- Top 10 TABE Prep Books (Our 2023 Favorite Picks)
- The Best Grade 7 ELA Practice Tests for Oregon Students
- Full-Length 7th Grade IAR Math Practice Test-Answers and Explanations
- 10 Most Common 6th Grade PARCC Math Questions
What people say about "The Exterior Angle Theorem Explained"?
No one replied yet.