Question

geometry with data analysis ic qtr b young continuous learning center - credit bearing (tutor)
isosceles triangles
identifying an unknown value
what is the value of ( x )?
140
40
160
70
assignment

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 be \(40^{\circ}\).

Step2: Apply the angle - sum property of a triangle

The sum of angles in a triangle is \(180^{\circ}\). So, \(x + x+40^{\circ}=180^{\circ}\).
Simplify the equation: \(2x+40^{\circ}=180^{\circ}\).
Subtract \(40^{\circ}\) from both sides: \(2x = 180^{\circ}-40^{\circ}=140^{\circ}\).
Divide both sides by 2: \(x=\frac{140^{\circ}}{2}=70^{\circ}\).

Answer:

70