Question

what is m∠1? triangle with angles 33° and 103° m∠1 = \boxed{}°

Explanation:

Step1: Recall triangle angle sum

The sum of angles in a triangle is \(180^\circ\). First, find the third angle of the triangle. Let the third angle be \(x\). So, \(33^\circ + 103^\circ + x = 180^\circ\).

Step2: Calculate the third angle

Solve for \(x\): \(x = 180^\circ - 33^\circ - 103^\circ = 44^\circ\).

Step3: Use linear pair property

\(\angle1\) and the third angle (\(44^\circ\)) form a linear pair, so their sum is \(180^\circ\). Let \(m\angle1 = y\), then \(y + 44^\circ = 180^\circ\).

Step4: Solve for \(m\angle1\)

\(y = 180^\circ - 44^\circ = 136^\circ\).

Answer:

\(136\)