Answer:
x = 80°
Explanation:
If an isosceles triangle has base angles of equal measure, say 50 degrees, then we can find the measure of the vertex angle by using the sum of the angles in a triangle is always 180 degrees.
Let x be the measure of the vertex angle. Since the isosceles triangle has two equal base angles of 50 degrees, we have:
50 + 50 + x = 180
Simplifying the left side, we get:
100 + x = 180
Subtracting 100 from both sides, we get:
x = 80
Therefore, the measure of the vertex angle in this isosceles triangle is 80 degrees.