Question

1. find ( mangle1 ).

Explanation:

Step1: Recall the triangle angle - sum theorem

The sum of the interior angles of a triangle is \(180^{\circ}\). Let \(\angle1=x\), and the other two angles are \(75^{\circ}\) and \(75^{\circ}\). Then the equation is \(x + 75^{\circ}+75^{\circ}=180^{\circ}\).

Step2: Solve the equation for \(x\)

$$
LATEXBLOCK0
$$

Answer:

\(30^{\circ}\)