Question

solve for x in the following figure.

x =

Explanation:

Step1: Use the property of isosceles triangle

Since \( \angle U = 70^{\circ}\), and \( \angle T=\angle U\) (isosceles triangle \( \triangle TUS\) with \( TS = US\)), so \( x - 30=70\).

Step2: Solve the equation

Add \( 30\) to both sides of the equation \( x - 30=70\), we get \( x=70 + 30\).

Answer:

\(x = 100\)