Look at the isosceles triangle below. If one of the equal angles is , what is the measure of the vertex angle?
Options
A
B
C
D
Answer & Analysis
Answer
C
Analysis
Question Analysis:
This question involves the properties of isosceles triangles and the sum of interior angles of a triangle.
The main focus is on using the fact that in an isosceles triangle, the base angles are equal and then applying the angle - sum property of a triangle.
Key Concept Explanation:
In an isosceles triangle, if two sides are equal, the angles opposite those sides (base angles) are equal.
The sum of the interior angles of any triangle is .
Step - by - Step Solution:
Since the triangle is isosceles and one of the base angles is , the other base angle is also .
Let the vertex angle be .
Using the angle - sum property of a triangle: .
First, add the base angles:
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