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10) Find the measure of h. (m Il n) h 24° m

10) Find the measure of h. (m Il n) h 24° m

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Find the measure of
# Finding the Measure of Angle \( h \) ## Problem Statement Given the setup below, determine the measure of angle \( h \). ### Diagram Explanation The diagram consists of two parallel lines \( m \) and \( n \) intersected by a transversal. The angles created by the intersection are labeled from \( d \) to \( h \), forming a series of angles. Angle \( f \) is given as 24°. ### Options A) 66° B) 156° C) 114° D) 166° ## Steps to Solve To find the measure of angle \( h \), use the properties of parallel lines and the relationships between angles such as corresponding angles, alternate interior angles, and vertical angles. Consider using the given angle \( f \) and properties like: 1. **Alternate Interior Angles**: Equal when lines are parallel. 2. **Corresponding Angles**: Equal in measure when lines are parallel. 3. **Supplementary Angles**: Angles on a straight line sum to 180°. Solve accordingly to determine the correct angle measurement.
Transcribed Image Text:# Finding the Measure of Angle \( h \) ## Problem Statement Given the setup below, determine the measure of angle \( h \). ### Diagram Explanation The diagram consists of two parallel lines \( m \) and \( n \) intersected by a transversal. The angles created by the intersection are labeled from \( d \) to \( h \), forming a series of angles. Angle \( f \) is given as 24°. ### Options A) 66° B) 156° C) 114° D) 166° ## Steps to Solve To find the measure of angle \( h \), use the properties of parallel lines and the relationships between angles such as corresponding angles, alternate interior angles, and vertical angles. Consider using the given angle \( f \) and properties like: 1. **Alternate Interior Angles**: Equal when lines are parallel. 2. **Corresponding Angles**: Equal in measure when lines are parallel. 3. **Supplementary Angles**: Angles on a straight line sum to 180°. Solve accordingly to determine the correct angle measurement.
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