Question

1. find the measures of the interior angles of the triangle. the measures of the interior angles from least to greatest are , , and .

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°. One angle is 90° (right - angle) and another is 30°. Let the third angle be \(x\). Then \(x + 90+30=180\).

Step2: Solve for \(x\)

\[

$$\begin{align*} x+90 + 30&=180\\ x+120&=180\\ x&=180 - 120\\ x&=60 \end{align*}$$

\]

Step3: Arrange angles from least to greatest

The angles are 30°, 60°, and 90°.

Answer:

30°, 60°, 90°