? Question
Warm-Up
Given: AB || CD
m/ZYB = 60°
Prove: m/DXW = 120°
A
W
Z
Y/60°
X
Select the correct answer from each drop-down menu.
Statements
AB || CD
m/ZYB
ZYXDand ZDXWform a linear pair.
K
B
=
60°
m/YXD
m/DXW = 120°
Reasons
given
given
definition of a linear pair
corresponding angles have equal measures

Question

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AFOKE88 AFOKE88 · Answer 1 · 2022-07-21T20:10:35+02:00

The missing Statement and reason for the transverse line angles is; m∠YXD = 60° and Supplementary angles sum up to 180°.

Statement 1; AB ║ CD

Reason 1; Given

Statement 2; m∠ZYB = 60°

Reason 2; Given

Statement 3; ∠YXD and ∠DXW form a linear pair

Reason 3; Definition of Linear Pair

Statement 4; m∠YXD = 60°

Reason 4; Corresponding angles have equal measure.

Statement 5; m∠DXW = 120°

Linear pairs usually sum up to 180° because they are supplementary angles. Thus;

m∠YXD = 180° - 60° = 120°

Reason 5; Supplementary angles sum up to 180°.

Read more about Congruent Angles at; https://brainly.com/question/2938476

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