Intermediate Geometry : How to find an angle in an acute / obtuse isosceles triangle
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Example Question #1 : How To Find An Angle In An Acute / Obtuse Isosceles Triangle
An isoceles triangle has a vertex angle that is twenty more than twice the base angle. What is the difference between the vertex and base angles?
A triangle has 
Let 
So the equation to solve becomes
or
so the base angle is 
Example Question #1 : How To Find An Angle In An Acute / Obtuse Isosceles Triangle
An ssosceles triangle has interior angles of 
Isosceles triangles always have two equivalent interior angles, and all three interior angles of any triangle always have a sum of 
Thus, the solution is:
Example Question #3 : How To Find An Angle In An Acute / Obtuse Isosceles Triangle
The largest angle in an obtuse isosceles triangle is 
Isosceles triangles always have two equivalent interior angles, and all three interior angles of any triangle always have a sum of 
Thus, the solution is:
Example Question #1 : How To Find An Angle In An Acute / Obtuse Isosceles Triangle
The two equivalent interior angles of an obtuse isosceles triangle each have a measurement of 
Isosceles triangles always have two equivalent interior angles, and all three interior angles of any triangle always have a sum of 
Thus, the solution is:
Example Question #1 : How To Find An Angle In An Acute / Obtuse Isosceles Triangle
In an obtuse isosceles triangle the angle measurements are, 
Isosceles triangles always have two equivalent interior angles, and all three interior angles of any triangle always have a sum of
The solution is:
However, 
Each individual angle is 
Example Question #6 : How To Find An Angle In An Acute / Obtuse Isosceles Triangle
In an acute isosceles triangle the two equivalent interior angles each have a measurement of 
Isosceles triangles always have two equivalent interior angles, and all three interior angles of any triangle always have a sum of
The solution is:
Example Question #7 : How To Find An Angle In An Acute / Obtuse Isosceles Triangle
In an acute isosceles triangle the two equivalent interior angles are each 
Isosceles triangles always have two equivalent interior angles, and all three interior angles of any triangle always have a sum of
The solution is:
Example Question #8 : How To Find An Angle In An Acute / Obtuse Isosceles Triangle
The largest angle in an obtuse isosceles triangle is 
Isosceles triangles always have two equivalent interior angles, and all three interior angles of any triangle always have a sum of
Thus, the solution is:
Example Question #41 : Triangles
In an obtuse isosceles triangle the largest angle is 
Isosceles triangles always have two equivalent interior angles, and all three interior angles of any triangle always have a sum of
The solution is:
Example Question #41 : Acute / Obtuse Isosceles Triangles
In an acute isosceles triangle the measurement of the non-equivalent interior angle is 
Isosceles triangles always have two equivalent interior angles, and all three interior angles of any triangle always have a sum of
The solution is:
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