Question

1. if (mangle tmi = 5x + 2) and (x = 20), then classify (angle tmi) as acute, obtuse, right, or straight. explain your choice.

Explanation:

Step1: Substitute x value

Substitute \(x = 20\) into \(m\angle TMI=5x + 2\). So \(m\angle TMI=5\times20+2\).

Step2: Calculate the angle measure

$$
LATEXBLOCK0
$$

Step3: Classify the angle

Since an acute angle is less than \(90^{\circ}\), a right - angle is equal to \(90^{\circ}\), an obtuse angle is between \(90^{\circ}\) and \(180^{\circ}\), and a straight angle is equal to \(180^{\circ}\), and \(90^{\circ}<102^{\circ}<180^{\circ}\), so \(\angle TMI\) is an obtuse angle.

Answer:

\(\angle TMI\) is an obtuse angle.