Intermediate Geometry : How to find an angle in an acute / obtuse isosceles triangle
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Example Question #11 : How To Find An Angle In An Acute / Obtuse Isosceles Triangle
In an obtuse isosceles triangle, the largest 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:
Example Question #44 : Triangles
You are flying a kite at an altitude of 40 feet after having let out 75 feet of string. What is the kite's angle of elevation from where you are holding the spool of string at a height of 4 feet off the ground? Round answer to one decimal place.
First, we must draw a picture to include all important parts given in the problem.
Once this is determined we can use trigonometry to find the angle of elevation.
Use the inverse sin on a calculator to solve.
Example Question #11 : How To Find An Angle In An Acute / Obtuse Isosceles Triangle
Two angles in an isosceles triangle are 50 and 80 degrees respectively. What is the measure of the third angle?
If a triangle is isosceles, two of the angles must be congruent. So the angle must be either 50 degrees or 80 degrees.
We know that the three angles in all triangles must sum to equal 180 degrees. The only answer choice that is both the same as one of the given angles and results in a sum equal to 180 degrees is the 50 degree angle.
50+50+80=180.
Example Question #11 : How To Find An Angle In An Acute / Obtuse Isosceles Triangle
An isosceles triangle has one angle measuring 
An isosceles triangle has 2 congruent angles and then a third angle. These angles, as in any triangle, must add to 180.
One possibility is that the 25-degree angle is the "different" one, and the other two are congruent. This could be expressed using the algebraic expression 
The other possibility is that there are 2 25-degree angles and then some different angle measure. This could be expressed using the algebraic expression 
Example Question #12 : How To Find An Angle In An Acute / Obtuse Isosceles Triangle
Refer to the above triangle. By what statement does it follow that 
The Converse of the Isosceles Triangle Theorem
The Isosceles Triangle Theorem
The Side-Side-Side Postulate
The Pythagorean Theorem
The Side-Angle-Side Postulate
The Isosceles Triangle Theorem
We are given that, in 
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