Question

find the measure of each angle indicated. 10)

Explanation:

Step1: Find the adjacent interior angle

The adjacent interior angle of \(145^{\circ}\) is \(180^{\circ}-145^{\circ}\).
\(180^{\circ}-145^{\circ}=35^{\circ}\)

Step2: Use the triangle angle - sum theorem

In \(\triangle ABC\), the sum of interior angles is \(180^{\circ}\). Let the unknown angle at \(B\) be \(x\). Then \(x + 35^{\circ}+25^{\circ}=180^{\circ}\).
\(x=180^{\circ}-(35^{\circ} + 25^{\circ})\)
\(x = 120^{\circ}\)

Answer:

\(120^{\circ}\)