The measure of the vertex angle is 92°
Here,
The triangle is isosceles and one base angle of an isosceles triangle has a measure of 44°
We have to find the measure of the vertex angle.
What is Isosceles triangle?
A triangle is said to be isosceles if there is any two corresponding sides are equal and there angle are equal.
Now,
The triangle is isosceles triangle.
Hence, there corresponding sides and there angles are equal.
So, Both base angles of a triangle are equal.
And, Sum of angles of a triangle are 180°
Let the measure of the vertex angle is x°
Hence,
⇒ 44° + 44° + x° = 180°
⇒ x° = 180° - 88°
⇒ x° = 92°
Therefore, The measure of the vertex angle is 92°
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