14 Mikayla is using the following to prove that ZTUS and ZPUQ are complementary angles in the diagram shown. Given: The ray US bisects TUR and the ray UQ bisects PUR. Part of her proof is shown. Reasons Statements TUP Is a line. 1. ZTUR and LPUR are supplementary angles. 1. Definition of supplementary angles 2. 2. m TUR + m PUR = 180° 3. Property of angle bisectors m TUR = 2 M TUS mz PUR = 2 m PUQ 3. 4. Substitution Division property of equality Definition of complementary angles 5. 6. ZTUS and PUQ are complementary angles. 29 LEFT > NEXT US 2 9. acer 456

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
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Question
14
Mikayla is using the following to prove that ZTUS and ZPUQ are complementary angles in the diagram shown.
Given: The ray US bisects TUR and the ray UQ bisects PUR.
Part of her proof is shown.
Reasons
Statements
TUP Is a line.
1.
ZTUR and LPUR are supplementary
angles.
1.
Definition of supplementary angles
2.
2.
m TUR + m PUR = 180°
3.
Property of angle bisectors
m TUR = 2 M TUS
mz PUR = 2 m PUQ
3.
4.
Substitution
Division property of equality
Definition of complementary angles
5.
6.
ZTUS and PUQ are complementary
angles.
29 LEFT
>
NEXT
US 2
9.
acer
456
Transcribed Image Text:14 Mikayla is using the following to prove that ZTUS and ZPUQ are complementary angles in the diagram shown. Given: The ray US bisects TUR and the ray UQ bisects PUR. Part of her proof is shown. Reasons Statements TUP Is a line. 1. ZTUR and LPUR are supplementary angles. 1. Definition of supplementary angles 2. 2. m TUR + m PUR = 180° 3. Property of angle bisectors m TUR = 2 M TUS mz PUR = 2 m PUQ 3. 4. Substitution Division property of equality Definition of complementary angles 5. 6. ZTUS and PUQ are complementary angles. 29 LEFT > NEXT US 2 9. acer 456
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