In the figure below, lines I and k are parallel. Suppose that mZ1-51° and m Z4=81°. 4 5 3 1 Complete the statements below.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter2: Parallel Lines
Section2.1: The Parallel Postulate And Special Angles
Problem 39E
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In the figure below, lines I and k are parallel.
Suppose that mZ1=51° and mZ4=81°.
4
1
m.
Complete the statements below.
2.
Transcribed Image Text:In the figure below, lines I and k are parallel. Suppose that mZ1=51° and mZ4=81°. 4 1 m. Complete the statements below. 2.
We see that24 and 22 are
Choose one
And since lines I and k are parallel, 24 and 2 are
Choose one
So, mZ2=
We see that 21 and 5 are
Choose one
And since lines I and k are parallel, 1 and 5 are Choose one
So, m 25= .
By the angle addition property, mZ4+mZ3+m25= [[ .
SO
Note that m Z4=81° and m Z 5-51°, so m3= .
Therefore, m 1+mZ2+mZ 3= .
The relationship between Z 1, 2 2, and 23 is an example of the following rule-
The sum of the interior angle measures of a triangle is
Transcribed Image Text:We see that24 and 22 are Choose one And since lines I and k are parallel, 24 and 2 are Choose one So, mZ2= We see that 21 and 5 are Choose one And since lines I and k are parallel, 1 and 5 are Choose one So, m 25= . By the angle addition property, mZ4+mZ3+m25= [[ . SO Note that m Z4=81° and m Z 5-51°, so m3= . Therefore, m 1+mZ2+mZ 3= . The relationship between Z 1, 2 2, and 23 is an example of the following rule- The sum of the interior angle measures of a triangle is
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