Find the missing part of the proof for mzPQR = 105° and M/PQT=27°. %3D %3D Statements Reasons 1. M PQR = 105° 1. Given %3D 2. M

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.2: Trigonometric Functions Of Angles
Problem 33E
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Find the missing part of the proof for mzPQR = 105° and M/PQT=27°.
Statements
Reasons
1. MZPQR = 105°
1. Given
2. M PQT = 27°
2. Given
3.
3.
4. 27° + M2TQR= 105° 4. Substitution
5. 27° + M<TQR – 27° = 5. Subtraction property
105° - 27°
of equality
6. Simplify
6. M¿TQR= 78°
M²PQR + M<PQT = mzTQR, Angle Addition Postulate
O M/PQR + M<PQT = mzTQR, Segment Addition Postulate
O mzPQT + M²TQR= mzPQR, Angle Addition Postulate
o mzPQT+ M<TQR = M¿PQR, Segment Addition Postulate
MacBook Air
Transcribed Image Text:Find the missing part of the proof for mzPQR = 105° and M/PQT=27°. Statements Reasons 1. MZPQR = 105° 1. Given 2. M PQT = 27° 2. Given 3. 3. 4. 27° + M2TQR= 105° 4. Substitution 5. 27° + M<TQR – 27° = 5. Subtraction property 105° - 27° of equality 6. Simplify 6. M¿TQR= 78° M²PQR + M<PQT = mzTQR, Angle Addition Postulate O M/PQR + M<PQT = mzTQR, Segment Addition Postulate O mzPQT + M²TQR= mzPQR, Angle Addition Postulate o mzPQT+ M<TQR = M¿PQR, Segment Addition Postulate MacBook Air
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