Question

28 in the figure, ( mangle1 = mangle2 = 22 ) and ( mangle3 = mangle4 = 123 ). find ( mangle tsk ). 22 33 45 35

Explanation:

Step1: Use the exterior angle theorem

The exterior angle theorem states that an exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. For \(\triangle TSK\), \(\angle3\) is an exterior angle. So, \(\angle3=\angle1 + \angle TSK\).

Step2: Solve for \(\angle TSK\)

We know that \(m\angle1 = 22\) and \(m\angle3=123\). Substitute these values into the equation \(\angle3=\angle1+\angle TSK\). Then \(\angle TSK=\angle3-\angle1\).

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Answer:

33