In the figure, m Z1 = (x+33)° and m Z2 = (2x)°.(a) Write an equation to find x. Make sure you use an= " sign in your answer.21Equation:O=0?(b) Find the degree measure of each angle.m Z1 =m Z2 = Two parallel lines, g and h, are cut by the transversal k as shown.Suppose m Z2 = 120°.23Complete the statements below.We see that 22 and 23 are Choose oneAnd since the lines g and h are parallel, 2 and 23 are Choose oneSo, m 23 = 0.We see that z1 and 22 are Choose oneThus, 21 and z2 are Choose oneSo, m 21 = 0.Therefore, 21 and 23 are Choose oneWe also see that 21 and 23 are Choose oneThe relationship between 21 and 23 is an example of the following rule.When parallel lines are cut by a transversal, Choose one

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Answered: In the figure, m Z1= (x+33)° and m Z2=…

In the figure, m Z1= (x+33)° and m Z2= (2x)°. (a) Write an equation to find x. Make sure you use an =" sign in your answer. 1 Equation:| D=0 (b) Find the degree measure of each angle. mZ1 = m Z 2 =

Elementary Geometry For College Students, 7e

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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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Concept explainers

Angles

In mathematics, angles constitute a very important part. Just like the concept of lines, an angle is a necessary figure that is used for measurement. How do you define its formation? It is formed when two or more lines meet at a point. The point at which two or more lines meet is known as the vertex. When the lines get inclined at this point, they do form various angles. Angles are measured from the vertex in terms of degrees.

Question

In the figure, m Z1 = (x+33)° and m Z2 = (2x)°.
(a) Write an equation to find x. Make sure you use an
= " sign in your answer.
2
1
Equation:
O=0
?
(b) Find the degree measure of each angle.
m Z1 =
m Z2 =

Two parallel lines, g and h, are cut by the transversal k as shown.
Suppose m Z2 = 120°.
2
3
Complete the statements below.
We see that 22 and 23 are Choose one
And since the lines g and h are parallel, 2 and 23 are Choose one
So, m 23 = 0.
We see that z1 and 22 are Choose one
Thus, 21 and z2 are Choose one
So, m 21 = 0.
Therefore, 21 and 23 are Choose one
We also see that 21 and 23 are Choose one
The relationship between 21 and 23 is an example of the following rule.
When parallel lines are cut by a transversal, Choose one

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