Question

1. find the value of x

Explanation:

Step1: Use the property of isosceles triangle

In an isosceles triangle, the base angles are equal. Let the two base angles be \(x\) and the vertex angle is \(98^{\circ}\).

Step2: Apply the angle - sum property of a triangle

The sum of angles in a triangle is \(180^{\circ}\). So, \(x + x+98^{\circ}=180^{\circ}\), which simplifies to \(2x=180^{\circ}-98^{\circ}\).

Step3: Solve for \(x\)

\(2x = 82^{\circ}\), then \(x=\frac{82^{\circ}}{2}=41^{\circ}\)

Answer:

\(41\)