Question

solve for x in the following figure.

i =

Explanation:

Step1: Use the property of isosceles triangle

In an isosceles triangle, the angles opposite equal sides are equal. Here, since the sides \(TS = US\), the angles opposite them are equal. So, \(2x - 30=70\).

Step2: Solve the equation for \(x\)

Add \(30\) to both sides of the equation \(2x - 30=70\). We get \(2x=70 + 30\), so \(2x=100\). Then divide both sides by \(2\), \(x=\frac{100}{2}\).

Answer:

\(x = 50\)