Find the value of x.(Hint: draw an additional parallel line through x, thenlook for linear pairs, vertical angles, and angle pairs.)105°125°143In the image to the right, line m is parallel to line n.5\67PART 3 NAME ONE PAIR (NOTE THERE ARE AT LEAST TWO RESPONSES FOR EACH)Angle Pair RelationshipsPlease list all angle pairsEqual or Supplementary?(Congruent or 180)EQUAL =3A Alternate InteriorEXAMPLE<3+<6 nameanotherAngles3B Alternate ExteriorAngles3C Corresponding Angles3D Consecutive InteriorAngles (aka "same sideinterior")3E Consecutive ExteriorAngles (aka “same sideexterior")

Given data: The given first angle is 105°. The given second angle is 125°. The below figure…

Answered: (Hint: draw an additional parallel line…

(Hint: draw an additional parallel line through x, then look for linear pairs, vertical angles, and angle pairs.) Find the value of x. 105° 125°

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter12: Angle Relationships And Transformations

Section12.2: Angles And Parallel Lines

Problem 8E

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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

Find the value of x.
(Hint: draw an additional parallel line through x, then
look for linear pairs, vertical angles, and angle pairs.)
105°
125°
1
4
3
In the image to the right, line m is parallel to line n.
5\6
7
PART 3 NAME ONE PAIR (NOTE THERE ARE AT LEAST TWO RESPONSES FOR EACH)
Angle Pair Relationships
Please list all angle pairs
Equal or Supplementary?
(Congruent or 180)
EQUAL =
3A Alternate Interior
EXAMPLE<3+<6 name
another
Angles
3B Alternate Exterior
Angles
3C Corresponding Angles
3D Consecutive Interior
Angles (aka "same side
interior")
3E Consecutive Exterior
Angles (aka “same side
exterior")

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