Find the missing part of the proof for mzPQR = 110° and mzPQT = 35°. Statements Reasons 1. MZPQR = 110° 1. Given %3D 2. mzPQT = 35° 2. Given %3D 3. 3. 4. 35° + mzTQR = 110° 4. Substitution 5. 35° + M TQR - 35° = 5. Subtraction property %3D 110°-35° of equality 6. Simplify 6. M TQR = 75° O M2PQT+ M

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter53: Introduction To Triangles
Section: Chapter Questions
Problem 19A: Solve the following exercises: In triangle ABC, BC = 17.3 inches. a. Find AB. b. Find AC.
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Question
Find the missing part of the proof for mzPQR = 110° and m<PQT = 35°.
Statements
Reasons
1. MZPQR = 110°
1. Given
2. MZPQT = 35°
2. Given
3.
3.
4. 35° + mzTQR = 110° 4. Substitution
5. 35° + mzTQR – 35° = 5. Subtraction property
of equality
6. Simplify
110° - 35°
6. M TQR= 75°
M<PQT+ M<TQR = M¿PQR, Segment Addition Postulate
O M2PQR + M<PQT= mzTQR, Angle Addition Postulate
O mzPQT + M<TQR= M²PQR, Angle Addition Postulate
O MZPQR + M<PQT = M2TQR, Segment Addition Postulate
MacBook Air
Transcribed Image Text:Find the missing part of the proof for mzPQR = 110° and m<PQT = 35°. Statements Reasons 1. MZPQR = 110° 1. Given 2. MZPQT = 35° 2. Given 3. 3. 4. 35° + mzTQR = 110° 4. Substitution 5. 35° + mzTQR – 35° = 5. Subtraction property of equality 6. Simplify 110° - 35° 6. M TQR= 75° M<PQT+ M<TQR = M¿PQR, Segment Addition Postulate O M2PQR + M<PQT= mzTQR, Angle Addition Postulate O mzPQT + M<TQR= M²PQR, Angle Addition Postulate O MZPQR + M<PQT = M2TQR, Segment Addition Postulate MacBook Air
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