Add and subtract angles that share a vertex

Question 1

Angle PQR is 160°. Ray QS splits it into two angles. Angle PQS is 50°. What is angle SQR?

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Question 2

Angle ABD is 57° and angle DBC is 44°. They sit side by side to make angle ABC. What is angle ABC?

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Question 3

A fan is opened so that 4 equal sections of 15° sit side by side. What angle does the open fan make?

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Question 4

Angle PQR is 90°. Ray QS splits it into two angles. Angle PQS is 52°. What is angle SQR?

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Question 5

Angle ABD is 35° and angle DBC is 16°. They sit side by side to make angle ABC. What is angle ABC?

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Question 6

A fan is opened so that 5 equal sections of 10° sit side by side. What angle does the open fan make?

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Question 7

Angle PQR is 160°. Ray QS splits it into two angles. Angle PQS is 51°. What is angle SQR?

Answer 

Question 8

Angle ABD is 25° and angle DBC is 21°. They sit side by side to make angle ABC. What is angle ABC?

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Question 9

A fan is opened so that 3 equal sections of 25° sit side by side. What angle does the open fan make?

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Question 10

Angle PQR is 160°. Ray QS splits it into two angles. Angle PQS is 85°. What is angle SQR?

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Question 11

Angle ABD is 44° and angle DBC is 41°. They sit side by side to make angle ABC. What is angle ABC?

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Question 12

A fan is opened so that 5 equal sections of 15° sit side by side. What angle does the open fan make?

Answer 

Question 13

Angle PQR is 90°. Ray QS splits it into two angles. Angle PQS is 24°. What is angle SQR?

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Question 14

Angle ABD is 42° and angle DBC is 64°. They sit side by side to make angle ABC. What is angle ABC?

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Question 15

A fan is opened so that 6 equal sections of 25° sit side by side. What angle does the open fan make?

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Question 16

Angle PQR is 120°. Ray QS splits it into two angles. Angle PQS is 110°. What is angle SQR?

Answer