Question

find ( mangle1 ). then classify the triangle by its angles.( mangle1=square^{circ} ).the triangle can be classified by its angles as

Explanation:

Step1: Use the triangle angle - sum theorem

The sum of the interior angles of a triangle is \(180^{\circ}\). Let \(\angle1=x\), then \(x + 30^{\circ}+40^{\circ}=180^{\circ}\).

Step2: Solve for \(x\)

$$
LATEXBLOCK0
$$

Step3: Classify the triangle by its angles

Since one of the angles (\(\angle1 = 110^{\circ}>90^{\circ}\)), the triangle is an obtuse triangle.

Answer:

\(m\angle1 = 110^{\circ}\). The triangle can be classified by its angles as an obtuse triangle.