the measure of a base angle of an isosceles triangle is 28°. what is the measure of the triangles vertex angle? enter deg after any value that is in degrees.

Question

Accepted Answer

# Explanation:
## Step1: Recall the property of isosceles triangle
In an isosceles triangle, the base angles are equal.
## Step2: Use the angle - sum property of a triangle
The sum of angles in a triangle is $180^{\circ}$. Let the vertex angle be $x$. Then $x + 28^{\circ}+28^{\circ}=180^{\circ}$.
## Step3: Solve for $x$
$$
\begin{align*}
x&=180^{\circ}-(28^{\circ}+28^{\circ})\
x&=180^{\circ}-56^{\circ}\
x& = 124^{\circ}
\end{align*}
$$

# Answer:
$124$ deg

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QUESTION IMAGE

Question

Explanation:

Step1: Recall the property of isosceles triangle

Step2: Use the angle - sum property of a triangle

Step3: Solve for \(x\)

Answer: