Question

In this​ exercise, lines m and n are parallel. Find the measure

of each numbered angle. From m∠1= though m∠10 =

Answer 1

This question involves calculating the angles between two parallel lines and a transversal, as well as determining the angle between the hour and minute hands of a clock at a given time.

Step-by-step explanation:

The question involves finding the measures of angles formed by two parallel lines intersected by a transversal, which is a basic concept in Geometry. When two parallel lines are intersected by a transversal, various angles are formed that have specific relationships, such as corresponding angles are equal, alternate interior angles are equal, and same-side interior angles are supplementary.

For practice problem 1, the angle between the hour and minute hands at 9:00 a.m. can be found by calculating the position of each hand. Each hour on a clock represents an angle of 30 degrees (360 degrees/12 hours). At 9:00, the hour hand is at 9 and the minute hand is at 12. Thus, there is a 90-degree angle (3 hours * 30 degrees/hour) between the hour and minute hands.