Question

for the figure shown, find ( mangle1 ).
(the figure is not drawn to scale.)

Explanation:

Step1: Recall the triangle angle - sum property

The sum of the interior angles of a triangle is \(180^{\circ}\). Let the three angles of the triangle be \(A = 124^{\circ}\), \(B = 41^{\circ}\), and \(C=\angle1\). Then, according to the formula \(A + B + C=180^{\circ}\).

Step2: Solve for \(\angle1\)

Substitute the values of \(A\) and \(B\) into the formula: \(\angle1=180^{\circ}-(124^{\circ}+ 41^{\circ})\). First, calculate the sum inside the parentheses: \(124^{\circ}+41^{\circ}=165^{\circ}\). Then, \(180^{\circ}-165^{\circ}=15^{\circ}\).

Answer:

\(15\)