In an isosceles triangle, the base angles are equal to 50°. The vertex angle is
30
50
80
100
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Given - Base angles equal to 50° for isosceles triangle.
Find - Vertex angle
Solution - Sum of all the angles of triangle is always equal to 180°. Moreover, isosceles triangle always has two equal sides, hence, the two base angles will also be equal.
Let us assume the vertex angle to be x.
Now, representing the sum of triangles in equation form -
50 + 50 + x = 180
100 + x = 180
x = 180 - 100
x = 80°
Therefore, the vertex angle is 80°.
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