what is an adjacent interior angle of a triangle?

Question

I need a good definition.
I'd also like a good definition for base angles (of an isosceles triangle)

Answer 1

To start, let's make sure you understand the definitions of the terms.

As isosceles triangle has two congruent sides with a third side
that is the base.

A base angle of an isosceles triangle is one of the angles formed by
the base and another side. Base angles are equal because of the
definition of an isosceles triangle.

A picture would probably help here:


A
.
/ \ ABC = ACB = 39 degrees
/ \ BAC = ??
/ \
/ \
/ \
/ \
/ \
._______________.
B C
base

ABC is the isosceles triangle. AB is congruent to AC. Angle ABC
is congruent to angle ACB. These are the base angles.
Triangle is a convex polygon with three segments joining three non-collinear points. Each of the three segments is called a side, and each of the three non-collinear points is called a vertex.




Triangles can be categorized by the number of congruent sides they have. For instance, a triangle with no congruent sides is a scalene triangle; a triangle with two congruent sides is an isosceles triangle; a triangle with three congruent sides is an equilateral triangle.




Triangles can also be categorized by their angles. For instance, a triangle with three acute interior angles is an acute triangle; a triangle with one obtuse interior angle is an obtuse triangle; a triangle with one right interior angle is a right triangle; a triangle with three congruent interior angles is an equiangular triangle.




One property of a triangle is that the sum of the measures of the three interior angles is always 180 degrees (or pi radians). In addition, the exterior angle of a triangle is the supplement of the adjacent interior angle. The measure of the exterior angle is also the sum of the measures of the two remote interior angles.

Answer 2

Definition Of Adjacent Angle

Answer 3

Base Angle Definition

Answer 4

If you want a good definition of base angles (on iscoleses triangles, go to: http://www.geom.uiuc.edu/~dwiggins/conj13.html
They have good diagrams and very sensible definitions that are easy to follow (especially when you refer to the diagrams!)
As for adjacent interior angles on triangles, i've got zilch and am as confused as you are! Hope this helps!

Answer 5

Adjacent means "next to", Interior means "inside" so the answer is:
The interior angle on the baseline is adjacent to the opposite interior angle.

Now you math types fix that answer. I'm sure there is a standard answer.
good luck

Answer 6

In geometry, adjacent angles are angles that share a common vertex and edge, but which do not overlap. By definition, complementary and supplementary angles angles are adjacent.

i think is 180 hey i said i think

Answer 7

hard to do without a picture but the "adjacent" of a triangle is the one that is closest to the angle you are solving for and the "opposite" is the one that is on the opposite side of the angle and the "hypotenuse" is always the longest side