# Download + Angle Z is an exterior angle. Its remote interior angles are angles 2

Survey

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

Document related concepts

Steinitz's theorem wikipedia , lookup

Multilateration wikipedia , lookup

History of geometry wikipedia , lookup

Perceived visual angle wikipedia , lookup

Atiyah–Singer index theorem wikipedia , lookup

3-manifold wikipedia , lookup

Rational trigonometry wikipedia , lookup

Noether's theorem wikipedia , lookup

Riemann–Roch theorem wikipedia , lookup

Integer triangle wikipedia , lookup

Four color theorem wikipedia , lookup

Triangle wikipedia , lookup

Trigonometric functions wikipedia , lookup

Brouwer fixed-point theorem wikipedia , lookup

Euler angles wikipedia , lookup

History of trigonometry wikipedia , lookup

Euclidean geometry wikipedia , lookup

Pythagorean theorem wikipedia , lookup

Transcript
```+
Angle Relationships in
Triangles
Geometry
Farris 2015
+
I can find the measure of and
interior and exterior angles of
triangles.
+
Theorem 4-3-1
Triangle Sum Theorem
The
sum of the angles
measures of a triangle is 180
degrees.
+
+ Corollary
- A theorem whose proof follows
directly from another theorem.
+
+
3
2
1
Angle Z is an exterior angle. Its
remote interior angles are angles 2
and 3.
+
4-3-4
Exterior Angle Theorem
The
measure of an exterior angle of a
triangle is equal to the sum of the
measures of its remote interior
angles.
+
+
4-3-5
Third Angles Theorem
+
```