Question

find the measure of each numbered angle.
m∠1 =
, m∠2 =

Explanation:

Step1: Find \( m\angle1 \)

In triangle \( RTW \), we know one angle is \( 90^\circ \) (right angle at \( W \)) and another angle is \( 60^\circ \) at \( T \). The sum of angles in a triangle is \( 180^\circ \). So, \( m\angle1 = 180^\circ - 90^\circ - 60^\circ = 30^\circ \).

Step2: Find \( m\angle2 \)

In triangle \( RWS \), one angle is \( 90^\circ \) (right angle at \( W \)) and another angle is \( 30^\circ \) at \( S \). Using the angle - sum property of a triangle (\( 180^\circ \) for the sum of angles in a triangle), we have \( m\angle2=180^\circ - 90^\circ - 30^\circ = 60^\circ \).

Answer:

\( m\angle1 = 30^\circ \), \( m\angle2 = 60^\circ \)