Survey

* Your assessment is very important for improving the work of artificial intelligence, which forms the content of this project

Document related concepts

Multilateration wikipedia, lookup

Technical drawing wikipedia, lookup

Euler angles wikipedia, lookup

Rational trigonometry wikipedia, lookup

Geometrization conjecture wikipedia, lookup

Triangle wikipedia, lookup

Perceived visual angle wikipedia, lookup

Trigonometric functions wikipedia, lookup

Line (geometry) wikipedia, lookup

History of trigonometry wikipedia, lookup

Integer triangle wikipedia, lookup

Pythagorean theorem wikipedia, lookup

History of geometry wikipedia, lookup

Euclidean geometry wikipedia, lookup

Transcript
```4-2
Angle Relationships in Triangles
Objectives
Find the measures of interior and exterior
angles of triangles.
Apply theorems about the interior and exterior
angles of triangles.
Vocabulary
Holt Geometry
4-2
Angle Relationships in Triangles
B
1
A
Holt Geometry
2
C
4-2
Angle Relationships in Triangles
Practice
1. Use the diagram to find m∠MJK.
1.5 For Fun find m∠L = ?
Holt Geometry
4-2
Angle Relationships in Triangles
A corollary is a theorem whose proof follows directly from another
theorem. Here are two corollaries to the Triangle Sum Theorem.
Holt Geometry
4-2
Angle Relationships in Triangles
Practice: Finding Angle Measures in Right Triangles
2. The measure of one of the acute angles in a right triangle is
63.7°. What is the measure of the other acute angle?
Holt Geometry
4-2
Angle Relationships in Triangles
Practice
3. The measure of one of the acute angles in a right triangle is
2°
48 5 . What is the measure of the other acute angle?
4. One of the acute angles in a right triangle measures 2x°.
What is the measure of the other acute angle?
Holt Geometry
4-2
Angle Relationships in Triangles
Interior
Holt Geometry
Exterior
4-2
Angle Relationships in Triangles
Practice: Applying the Exterior Angle Theorem
5. Find m∠B.
Holt Geometry
6. Find m∠ACD.
4-2
Holt Geometry
Angle Relationships in Triangles
4-2
Angle Relationships in Triangles
Practice: Applying the Third Angles Theorem
7. Find m∠K and m∠J.
Holt Geometry
4-2
Angle Relationships in Triangles
Practice
8. Find m∠P and m∠T.
Holt Geometry
```
Related documents