59 used to justify Step 3?

Elementary Geometry For College Students, 7e
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COFIELD, JOSHUA
The diagram below shows Rhombus MNPS with diagonals intersecting at Point Q.
59
To find m/NPS, Roberto completed the following steps of a proof, but did not provide any reasons. Which reason can be used to justify Step 3?
Step 1. MNPS is a rhombus.
Step 2. m/QNP = 59°
Step 3. NS 1 MP
Step 4. m/ MQN = 90
Step 5. m/NMQ = 31
Step 6. m/NMS 62
Step 7. m/NPs = 62
O The diagonals of a rhombus bisect the angles.
O The diagonals of a rhombus bisect each other,
O The diagonals of a rhombus are perpendicular.
O The opposite angles of a rhombus are congruent
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Transcribed Image Text:COFIELD, JOSHUA The diagram below shows Rhombus MNPS with diagonals intersecting at Point Q. 59 To find m/NPS, Roberto completed the following steps of a proof, but did not provide any reasons. Which reason can be used to justify Step 3? Step 1. MNPS is a rhombus. Step 2. m/QNP = 59° Step 3. NS 1 MP Step 4. m/ MQN = 90 Step 5. m/NMQ = 31 Step 6. m/NMS 62 Step 7. m/NPs = 62 O The diagonals of a rhombus bisect the angles. O The diagonals of a rhombus bisect each other, O The diagonals of a rhombus are perpendicular. O The opposite angles of a rhombus are congruent https://student.masteryconnect.com/?ivMDoAoAaXPVauo6Keg453w&tok zZov3v81Cht74xSjKvhSoTjfm4sPukcEFSrCIMSDSQLaxZX9oslelwUDoUS FICO4U 06WaZ14h0-X7ZVGA P Type here to search Ps Ai esc @ %23 24 & 3 4 5 6 8 9. tab W E os lock A S #3
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