Question

in the figure below, ( mangle1 = 35^{circ} ) and ( mangle2 = 96^{circ} ). find ( mangle stw ). ( mangle stw=square^{circ} )

Explanation:

Step1: Analyze the relationship between angles

From the figure, we know that \(m\angle STW=m\angle1 + m\angle2\) (angle - addition postulate).

Step2: Substitute the given values

Given \(m\angle1 = 35^{\circ}\) and \(m\angle2=96^{\circ}\).
Substitute these values into the formula: \(m\angle STW=35^{\circ}+96^{\circ}\).

Step3: Calculate the sum

\(35 + 96=131\), so \(m\angle STW = 131^{\circ}\).

Answer:

\(131\)